General information
Latest issue
Forthcoming papers
Impact factor
Guidelines for authors
License agreement
Submit a manuscript

Search papers
Search references

Latest issue
Current issues
Archive issues
What is RSS

Izv. RAN. Ser. Mat.:

Personal entry:
Save password
Forgotten password?

Izv. Akad. Nauk SSSR Ser. Mat., 1979, Volume 43, Issue 4, Pages 831–859 (Mi izv1733)  

This article is cited in 108 scientific papers (total in 109 papers)

The index of elliptic operators over $C^*$-algebras

A. S. Mishchenko, A. T. Fomenko

Abstract: In this paper natural generalizations are developed of the theory of elliptic operators invariant under the action of a $C^*$-algebra. The theory of compact and Fredholm operators acting in spaces of the type of a Hilbert space over a $C^*$-algebra is developed. A formula of the Atiyah–Singer type for elliptic operators over a $C^*$-algebra is developed.
Bibliography: 16 titles.

Full text: PDF file (2556 kB)
References: PDF file   HTML file

English version:
Mathematics of the USSR-Izvestiya, 1980, 15:1, 87–112

Bibliographic databases:

UDC: 513.6
MSC: Primary 58G12, 58G35; Secondary 46L05, 47A53, 47B05, 58G15
Received: 30.06.1978

Citation: A. S. Mishchenko, A. T. Fomenko, “The index of elliptic operators over $C^*$-algebras”, Izv. Akad. Nauk SSSR Ser. Mat., 43:4 (1979), 831–859; Math. USSR-Izv., 15:1 (1980), 87–112

Citation in format AMSBIB
\by A.~S.~Mishchenko, A.~T.~Fomenko
\paper The index of elliptic operators over $C^*$-algebras
\jour Izv. Akad. Nauk SSSR Ser. Mat.
\yr 1979
\vol 43
\issue 4
\pages 831--859
\jour Math. USSR-Izv.
\yr 1980
\vol 15
\issue 1
\pages 87--112

Linking options:

    SHARE: FaceBook Twitter Livejournal

    Citing articles on Google Scholar: Russian citations, English citations
    Related articles on Google Scholar: Russian articles, English articles

    This publication is cited in the following articles:
    1. V. A. Kasimov, “Homotopy properties of the general linear group of the Hilbert module $l_2(A)$”, Math. USSR-Sb., 47:2 (1984), 365–376  mathnet  crossref  mathscinet  zmath
    2. R. A. Biktashev, “Spekrty psevdo-differentsialnykh operatorov nad $C^*$-algebrami”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1982, no. 4, 36–38  mathscinet  zmath  isi
    3. J. Rosenberg, “Homological invariants of extensions of $C^*$-algebras”, Operator algebras and applications, Part 1 (Kingston, Ont., 1980), Proc. Sympos. Pure Math., 38, Amer. Math. Soc., Providence, RI, 1982, 35–75  crossref  mathscinet  zmath
    4. M. A. Rieffe, “Morita equivalence for operator algebras”, Operator algebras and applications, Part I (Kingston, Ont., 1980), Proc. Sympos. Pure Math., 38, Amer. Math. Soc., Providence, RI, 1982, 285–298  crossref  mathscinet  zmath
    5. G. G. Kasparov, “Indeks invariantnykh ellipticheskikh operatorov, K-teoriya i predstavleniya grupp Li”, Dokl. RAN, 268:3 (1983), 533–537  mathscinet  zmath  isi
    6. J. Rosenberg, “$C^*$-algebras, positive scalar curvature, and the Novikov conjecture”, Inst. Hautes Études Sci. Publ. Math., 1983, no. 58, 197–212  crossref  mathscinet  zmath  isi
    7. M. Nur, “Formula sleda dlya ellipticheskikh psevdo-differentsialnykh operatorov nad $C^*$-algebrami”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1984, no. 5, 69–72  mathscinet  zmath  isi
    8. J. CUNTZ, “$K$-theory and $C^*$-algebras”, Algebraic $K$-theory, number theory, geometry and analysis (Bielefeld, 1982), Lecture Notes in Math., 1046, Springer, Berlin, 1984, 55–79  crossref  mathscinet  zmath
    9. E. V. Troitskii, “Teorema ob indekse dlya ekvivariantnykh $C^*$-ellipticheskikh operatorov”, Dokl. RAN, 282:5 (1985), 1059–1061  mathnet  mathscinet  isi
    10. F. Sharipov, “Nezavisimost spektra ellipticheskogo operatora nad $C^*$-algebrami”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1985, no. 1, 87–89  mathscinet  zmath  isi
    11. A. Mallios, “Hermitian $K$-theory over topological $*$-algebras”, J. Math. Anal. Appl., 106:2 (1985), 454–539  crossref  mathscinet  zmath  isi
    12. E. V. Troitskii, “The equivariant index of $C^*$-elliptic operators”, Math. USSR-Izv., 29:1 (1987), 207–224  mathnet  crossref  mathscinet  zmath
    13. E. V. Troitskii, “Contractibility of the full general linear group of the $l_2(A)$”, Funct. Anal. Appl., 20:4 (1986), 301–307  mathnet  crossref  mathscinet  zmath
    14. J. A. Mingo, “$K$-theory and multipliers of stable $C^*$-algebras”, Trans. Amer. Math. Soc., 299:1 (1987), 397–411  mathscinet  zmath  isi
    15. J. Rosenberg, C. Schochet, “The Künneth theorem and the universal coefficient theorem for Kasparov's generalized $K$-functor”, Duke Math. J., 55:2 (1987), 431–474  crossref  mathscinet  zmath  isi
    16. N. Ch. Phillips, Equivariant $K$-theory and freeness of group actions on $C^*$-algebras, Lecture Notes in Math., 1274, Springer-Verlag, Berlin, 1987, viii+371 pp.  mathscinet  zmath
    17. E. V. Troitskii, “Tochnaya $K$-kogomologicheskaya $C^*$-indeksnaya formula. I. Izomorfizm Toma i topologicheskii indeks”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1988, no. 2, 83–85  isi
    18. J. Rosenberg, S. Weinberger, “Higher $G$-indices and applications”, Ann. Sci. École Norm. Sup. (4), 21:4 (1988), 479–495  mathscinet  zmath  isi
    19. E. V. Troitskii, “Exact $K$-cohomological $C^*$-index formula. II. The index theorem and its applications”, Russian Math. Surveys, 44:1 (1989), 259–260  mathnet  crossref  mathscinet  zmath  adsnasa  isi
    20. A. Connes, H. Moscovici, “Cyclic cohomology, the Novikov conjecture and hyperbolic groups”, Topology, 29:3 (1990), 345–388  crossref  mathscinet  zmath  isi
    21. E. V. Troitsky, “Lefschetz numbers of $C^*$-complexes”, Lecture Notes in Math., 1474, Springer, Berlin, 1991, 193–206  crossref  mathscinet
    22. K. Liu, “On mod 2 and higher elliptic genera”, Comm. Math. Phys., 149:1 (1992), 71–95  crossref  mathscinet  zmath  adsnasa  isi
    23. Zhang Shuang, “Factorizations of invertible operators and $K$-theory of $C^*$-algebras”, Bull. Amer. Math. Soc. (N.S.), 28:1 (1993), 75–83  crossref  mathscinet  zmath  isi
    24. E. V. Troitskii, “Sledy, chisla Lefshetsa $C^*$-kompleksov i starshie tsiklicheskie gomologii”, Vestn. Mosk. un-ta. Ser. 1. Matem., mekh., 1993, no. 5, 36–39  isi
    25. G. V. Sandrakov, “Averaging of quasiperiodic functions”, Dokl. Math., 47:2 (1993), 289–293  mathnet  mathscinet  zmath  isi
    26. E. V. Troitskii, “An Averaging Theorem in $C^*$-Hilbert Modules and Operators without Adjoint”, Funct. Anal. Appl., 28:3 (1994), 220–223  mathnet  crossref  mathscinet  zmath  isi
    27. V. M. Manuilov, “Diagonalization of compact operators in Hilbert modules over finite W ∗ -algebras”, Ann. Global Anal. Geom., 13:3 (1995), 207–226  crossref  mathscinet  zmath  isi
    28. Yu Guo Liang, “Cyclic cohomology and higher indices for noncompact complete manifolds”, J. Funct. Anal., 133:2 (1995), 442–473  crossref  mathscinet  zmath  isi
    29. U. Bunke, “A $K$-theoretic relative index theorem and Callias-type Dirac operators”, Math. Ann., 303:2 (1995), 241–279  crossref  mathscinet  zmath  isi
    30. D. Burghelea, T. Kappeler, P. McDonald, L. Friedlander, “Analytic and Reidemeister torsion for representations in finite type Hilbert modules”, Geom. Funct. Anal., 6:5 (1996), 751–859  crossref  mathscinet  zmath  isi
    31. E. V. Troitskii, M. Frank, “Lefschetz Numbers and Geometry of Operators in $W^*$-Modules”, Funct. Anal. Appl., 30:4 (1996), 257–266  mathnet  crossref  crossref  mathscinet  zmath  isi
    32. V. M. Manuilov, “Representability of Functionals on Hilbert $C^*$-Modules”, Funct. Anal. Appl., 30:4 (1996), 287–289  mathnet  crossref  crossref  mathscinet  zmath  isi
    33. T. Kato, “Asymptotic Lipschitz cohomology and higher signatures”, Geom. Funct. Anal., 6:2 (1996), 346–369  crossref  mathscinet  zmath  isi
    34. V. M. Manuilov, “Diagonalization of operators over continuous fields of $C^*$-algebras”, Sb. Math., 188:6 (1997), 893–911  mathnet  crossref  crossref  mathscinet  zmath  isi
    35. V. M. Manuilov, “Diagonalization of compact operators on Hilbert modules over $C^*$-algebras of real rank zero”, Math. Notes, 62:6 (1997), 726–730  mathnet  crossref  crossref  mathscinet  zmath  isi
    36. Jiang Xinhui, “An index theorem on foliated flat bundles”, K-Theory, 12:4 (1997), 319–359  crossref  mathscinet  zmath  isi
    37. Wu Fangbing, “A bivariant Chern-Connes character and the higher $\Gamma$-index theorem”, K-Theory, 11:1 (1997), 35–82  crossref  mathscinet  zmath  isi
    38. Yu Guoliang, “$K$-theoretic indices of Dirac type operators on complete manifolds and the Roe algebra”, K-Theory, 11:1 (1997), 1–15  crossref  mathscinet  zmath  isi
    39. Yu Guoliang, “Zero-in-the-spectrum conjecture, positive scalar curvature and asymptotic dimension”, Invent. Math., 127:1 (1997), 99–126  mathscinet  zmath  isi
    40. E. Leichtnam, P. Piazza, The $b$-pseudodifferential calculus on Galois coverings and a higher Atiyah-Patodi-Singer index theorem, Mém. Soc. Math. Fr. (N.S.), 68, 1997, iv+121 pp.  mathscinet  isi
    41. Yu Guoliang, “The Novikov conjecture for groups with finite asymptotic dimension”, Ann. of Math. (2), 147:2 (1998), 325–355  crossref  mathscinet  zmath  isi
    42. J. G. Miller, “Signature operators and surgery groups over $C^*$-algebras”, K-Theory, 13:4 (1998), 363–402  crossref  mathscinet  zmath  isi
    43. E. Leichtnam, P. Piazza, “Spectral sections and higher Atiyah-Patodi-Singer index theory on Galois coverings”, Geom. Funct. Anal., 8:1 (1998), 17–58  crossref  mathscinet  zmath  isi
    44. E. V. Troitskii, “Functionals on $l_2(A)$, Kuiper and Dixmier–Douady Type Theorems for $C^*$-Hilbert Modules”, Proc. Steklov Inst. Math., 225 (1999), 344–362  mathnet  mathscinet  zmath
    45. M. Marcolli, V. Mathai, “Twisted index theory on good orbifolds. I. Noncommutative Bloch theory”, Commun. Contemp. Math, 1:4 (1999), 553–587  crossref  mathscinet  zmath  isi
    46. J. Lott, “Delocalized $L^2$-invariants”, J. Funct. Anal., 169:1 (1999), 1–31  crossref  mathscinet  zmath  isi
    47. J. Trout, “Asymptotic morphisms and elliptic operators over $C^*$-algebras”, K-Theory, 18:3 (1999), 277–315  crossref  mathscinet  zmath  isi
    48. M. Frank, “Geometrical aspects of Hilbert $C^*$-modules”, Positivity, 3:3 (1999), 215–243  crossref  mathscinet  zmath  isi
    49. J. Lott, Diffeomorphisms and noncommutative analytic torsion, Mem. Amer. Math. Soc., 141, no. 673, 1999, viii+56 pp.  mathscinet
    50. D. Kastler, “Noncommutative geometry and fundamental physical interactions: The Lagrangian level–Historical sketch and description of the present situation”, J. Math. Phys., 41:6 (2000), 3867–3891  crossref  mathscinet  zmath  adsnasa  isi
    51. E. Park, J. Trout, “Representable $E$-theory for $C_0(X)$-algebras”, J. Funct. Anal., 177:1 (2000), 178–202  crossref  mathscinet  zmath  isi
    52. E. Leichtnam, J. Lott, P. Piazza, “On the homotopy invariance of higher signatures for manifolds with boundary”, J. Differential Geom., 54:3 (2000), 561–633  mathscinet  zmath  isi
    53. R. Lauter, B. Monthubert, V. Nistor, “Pseudodifferential analysis on continuous family groupoids”, Doc. Math., 5 (2000), 625–655  mathscinet  zmath
    54. J. Trout, “On graded $K$-theory, elliptic operators and the functional calculus”, Illinois J. Math., 44:2 (2000), 294–309  mathscinet  zmath  isi
    55. P. Baum, A. Connes, “Geometric $K$-theory for Lie groups and foliations”, Enseign. Math. (2), 46:1-2 (2000), 3–42  mathscinet  zmath
    56. E. V. Troitsky, “Geometry and topology of operators on Hilbert $C^*$-modules”, Functional analysis, 6, J. Math. Sci. (New York), 98, no. 2, 2000, 245–290  crossref  mathscinet  zmath
    57. V. M. Manuilov, E. V. Troitsky, “Hilbert $C^*$- and $W^*$-modules and their morphisms”, Functional analysis, 6, J. Math. Sci. (New York), 98, no. 2, 2000, 137–201  crossref  mathscinet  zmath
    58. E. Leichtnam, P. Piazza, “A higher Atiyah-Patodi-Singer index theorem for the signature operator on Galois coverings”, Ann. Global Anal. Geom., 18:2 (2000), 171–189  crossref  mathscinet  zmath  isi
    59. Yu Guoliang, “The coarse Baum-Connes conjecture for spaces which admit a uniform embedding into Hilbert space”, Invent. Math., 139:1 (2000), 201–240  crossref  mathscinet  zmath
    60. M. J. Gruber, “Noncommutative Bloch theory”, J. Math. Phys., 42:6 (2001), 2438–2465  crossref  mathscinet  zmath  adsnasa  isi  elib
    61. A. A. Bolibrukh, A. A. Irmatov, M. I. Zelikin, O. B. Lupanov, V. M. Maynulov, E. F. Mishchenko, M. M. Postnikov, Yu. P. Solov'ev, E. V. Troitskii, “Aleksandr Sergeevich Mishchenko (on his 60th birthday)”, Russian Math. Surveys, 56:6 (2001), 1187–1191  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    62. E. V. Troitsky, “Actions of compact groups on algebras, the $C^*$-index theorem, and families”, Pontryagin Conference, 8, Topology (Moscow, 1998), J. Math. Sci. (New York), 105, no. 2, 2001, 1884–1923  mathnet  crossref  mathscinet
    63. A. A. Pavlov, “The generalized Chern character and Lefschetz numbers in $W^*$-modules”, Noncommutative geometry and operator $K$-theory, Acta Appl. Math., 68, no. 1-3, 2001, 137–157  crossref  mathscinet  zmath  isi
    64. E. V. Troitsky, ““Twice” equivariant $C^*$-index theorem and the index theorem for families”, Noncommutative geometry and operator $K$-theory., Acta Appl. Math., 68, no. 1-3, 2001, 39–70  crossref  mathscinet  zmath  isi
    65. J. Lott, “Higher-degree analogs of the determinant line bundle”, Comm. Math. Phys., 230:1 (2002), 41–69  crossref  mathscinet  zmath  adsnasa  isi
    66. W. Lück, “The relation between the Baum-Connes conjecture and the trace conjecture”, Invent. Math., 149:1 (2002), 123–152  crossref  mathscinet  adsnasa  isi
    67. E. Vasselli, “Continuous fields of $C^*$-algebras arising from extensions of tensor $C^*$-categories”, J. Funct. Anal., 199:1 (2003), 122–152  crossref  mathscinet  zmath  isi
    68. G. Khimshiashvili, “Global geometric aspects of linear conjugation problems. Complex analysis”, J. Math. Sci. (N. Y.), 118:5 (2003), 5400–5466  crossref  mathscinet  zmath
    69. A. Gorokhovsky, J. Lott, “Local index theory over étale groupoids”, J. Reine Angew. Math., 560 (2003), 151–198  mathscinet  zmath  isi
    70. J. F. Davis, K. Pearson, “The Gromov-Lawson-Rosenberg conjecture for cocompact Fuchsian groups”, Proc. Amer. Math. Soc., 131:11 (2003), 3571–3578  crossref  mathscinet  zmath  isi
    71. E. V. Troitsky, “Discrete groups actions and corresponding modules”, Proc. Amer. Math. Soc., 131:11 (2003), 3411–3422  crossref  mathscinet  zmath  isi
    72. W. Dwyer, M. Weiss, B. Williams, “A parametrized index theorem for the algebraic $K$-theory Euler class”, Acta Math., 190:1 (2003), 1–104  crossref  mathscinet  zmath  isi
    73. N. Higson, J. Roe, “Mapping surgery to analysis. I. Analytic signatures”, K-Theory, 33:4 (2004), 277–299  crossref  mathscinet  zmath  isi
    74. E. Leichtnam, P. Piazza, “Elliptic operators and higher signatures”, Ann. Inst. Fourier (Grenoble), 54:5 (2004), 1197–1277  crossref  mathscinet  zmath
    75. D. Perrot, “Retraction of the bivariant Chern character”, K-Theory, 31:3 (2004), 233–287  crossref  mathscinet  zmath  isi
    76. Th. Schick, “$L^2$-index theorems, $KK$-theory, and connections”, New York J. Math., 11 (2005), 387–443  mathscinet  zmath
    77. A. S. Mishchenko, “$K$-theory from the point of view of $C^*$-algebras and Fredholm representations”, Cent. Eur. J. Math., 3:4 (2005), 766–793  crossref  mathscinet  zmath
    78. E. Hawkins, “Quantization of multiply connected manifolds”, Comm. Math. Phys., 255:3 (2005), 513–575  crossref  mathscinet  zmath  adsnasa  isi
    79. E. Vasselli, “Crossed products by endomorphisms, vector bundles and group duality”, Internat. J. Math., 16:2 (2005), 137–171  crossref  mathscinet  zmath  isi  elib
    80. M. J. Dupré, J. F. Glazebrook, E. Previato, “A Banach algebra version of the Sato Grassmannian and commutative rings of differential operators”, Acta Appl. Math., 92:3 (2006), 241–267  crossref  mathscinet  zmath  isi
    81. M. N. Krein, “The mappings of degree 1”, Abstr. Appl. Anal., 2006, 90837, 14 pp.  mathscinet  zmath  isi  elib
    82. D. Kucerovsky, P. W. Ng, “An abstract Pimsner-Popa-Voiculescu theorem”, J. Operator Theory, 55:1 (2006), 169–183  mathscinet  zmath
    83. A. A. Pavlov, E. V. Troitskii, “Property (T) for topological groups and $C^*$-algebras”, J. Math. Sci., 159:6 (2009), 863–878  mathnet  crossref  mathscinet  zmath  elib
    84. S. Damaville, “Régularité d'opérateurs non bornés dans les modules de Hilbert”, C. R. Math. Acad. Sci. Paris, 344:12 (2007), 769–772  crossref  mathscinet  zmath  isi
    85. A. A. Pavlov, E. V. Troitsky, “A $C^*$-analogue of Kazhdan's property (T)”, Adv. Math., 216:1 (2007), 75–88  crossref  mathscinet  zmath  isi  elib
    86. Ch. Wahl, Noncommutative Maslov index and eta-forms, Mem. Amer. Math. Soc., 189, no. 887, 2007, vi+118 pp.  mathscinet
    87. P. Piazza, Th. Schick, “Bordism, rho-invariants and the Baum-Connes conjecture”, J. Noncommut. Geom., 1:1 (2007), 27–111  crossref  mathscinet  zmath
    88. A. A. Irmatov, A. S. Mishchenko, “On compact and Fredholm operators over $C^*$-algebras and a new topology in the space of compact operators”, J. K-Theory, 2:2, Special issue in memory of Yurii Petrovich Solovyev, Part 1 (2008), 329–351  mathscinet  zmath  adsnasa  isi
    89. M. Marcolli, “Solvmanifolds and noncommutative tori with real multiplication”, Commun. Number Theory Phys., 2:2 (2008), 421–476  mathscinet  zmath  isi
    90. Ch. Wahl, “Spectral flow and winding number in von Neumann algebras”, J. Inst. Math. Jussieu, 7:3 (2008), 589–619  crossref  mathscinet  zmath  isi
    91. S. Bayramov, “On stability of index of Fredholm complexes on the $C^*$-algebra”, Appl. Anal., 87:4 (2008), 409–419  crossref  mathscinet  zmath  isi
    92. “J. Rosenberg”, Trans. Amer. Math. Soc., 360:1 (2008), 383–394  crossref  mathscinet  zmath  isi
    93. V. E. Nazaikinskii, A. Yu. Savin, B. Yu. Sternin, “On the index of nonlocal elliptic operators”, Dokl. Math., 77:3 (2008), 441–445  mathnet  crossref  mathscinet  isi  elib
    94. Yu. A. Kordyukov, “Index theory and non-commutative geometry on foliated manifolds”, Russian Math. Surveys, 64:2 (2009), 273–391  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    95. Savin A.Yu., Sternin B.Yu., “Index of nonlocal elliptic operators over $C^*$-algebras”, Dokl. Math., 79:3 (2009), 369–372  mathnet  crossref  mathscinet  zmath  isi  elib  elib
    96. E. Vasselli, “Gauge-equivariant Hilbert bimodules and crossed products by endomorphisms”, Internat. J. Math., 20:11 (2009), 1363–1396  crossref  mathscinet  zmath  isi  elib
    97. C. Wahl, “Homological index formulas for elliptic operators over $C^*$-algebras”, New York J. Math., 15 (2009), 319–351  mathscinet  zmath
    98. D. Perrot, “The equivariant index theorem in entire cyclic cohomology”, J. K-Theory, 3:2 (2009), 261–307  crossref  mathscinet  zmath  isi
    99. U. Bunke, Index theory, eta forms, and Deligne cohomology, Mem. Amer. Math. Soc., 198, no. 928, 2009, vi+120 pp.  mathscinet
    100. A. Yu. Savin, B. Yu. Sternin, “On the index of noncommutative elliptic operators over $C^*$-algebras”, Sb. Math., 201:3 (2010), 377–417  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    101. M. E. Zadeh, “Index theory and partitioning by enlargeable hypersurfaces”, J. Noncommut. Geom., 4:3 (2010), 459–473  crossref  mathscinet  zmath  isi
    102. C. Wahl, “Index theory for actions of compact Lie groups on $C^*$-algebras”, J. Operator Theory, 63:1 (2010), 217–242  mathscinet  zmath
    103. D. S. Freed, J. Lott, “An index theorem in differential K-theory”, Geom. Topol., 14:2 (2010), 903–966  crossref  mathscinet  zmath  isi
    104. R. Ji, C. Ogle, B. Ramsey, “Relatively hyperbolic groups, rapid decay algebras and a generalization of the Bass conjecture”, J. Noncommut. Geom., 4:1 (2010), 83–124  mathscinet  zmath  isi
    105. A. A. Pavlov, E. V. Troitskii, “Quantization of branched coverings”, Russ. J. Math. Phys., 18:3 (2011), 338–352  crossref  mathscinet  zmath  isi  elib
    106. M. Dadarlat, “Group quasi-representations and index theory”, J. Topol. Anal., 4:3 (2012), 297–319  crossref  mathscinet  zmath  isi
    107. P. Albin É. Leichtnam, R. Mazzeo, P. Piazza, “The signature package on Witt spaces”, Ann. Sci. Éc. Norm. Supér. (4), 45:2 (2012), 241–310  mathscinet  zmath
    108. H. Sati, “Geometry of Spin and Spin$^c$ structures in the M-theory partition function”, Rev. Math. Phys., 24:3 (2012), 1250005, 112 pp.  crossref  mathscinet  zmath  isi
    109. Antonini P., “Boundary integral for the Ramachandran index”, Rend. Semin. Mat. Univ. Padova, 131 (2014), 1–14  crossref  mathscinet  zmath  isi  scopus
  • Известия Академии наук СССР. Серия математическая Izvestiya: Mathematics
    Number of views:
    This page:1319
    Full text:441
    First page:4

    Contact us:
     Terms of Use  Registration  Logotypes © Steklov Mathematical Institute RAS, 2019