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Uspekhi Mat. Nauk, 1998, Volume 53, Issue 2(320), Pages 139–140 (Mi umn11)  

This article is cited in 26 scientific papers (total in 27 papers)

In the Moscow Mathematical Society
Communications of the Moscow Mathematical Society

Toric manifolds and complex cobordisms

V. M. Buchstabera, N. Rayb

a M. V. Lomonosov Moscow State University, Faculty of Mechanics and Mathematics
b University of Manchester

DOI: https://doi.org/10.4213/rm11

Full text: PDF file (191 kB)
References: PDF file   HTML file

English version:
Russian Mathematical Surveys, 1998, 53:2, 371–373

Bibliographic databases:

MSC: 57Q60, 57R77, 57R32
Accepted: 22.01.1998

Citation: V. M. Buchstaber, N. Ray, “Toric manifolds and complex cobordisms”, Uspekhi Mat. Nauk, 53:2(320) (1998), 139–140; Russian Math. Surveys, 53:2 (1998), 371–373

Citation in format AMSBIB
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    This publication is cited in the following articles:
    1. V. M. Buchstaber, T. E. Panov, “Algebraic topology of manifolds defined by simple polytopes”, Russian Math. Surveys, 53:3 (1998), 623–625  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    2. T. E. Panov, “Combinatorial formulae for the $\chi_y$-genus of a multioriented quasitoric manifold”, Russian Math. Surveys, 54:5 (1999), 1037–1039  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    3. V. M. Buchstaber, T. E. Panov, “Torus actions, combinatorial topology, and homological algebra”, Russian Math. Surveys, 55:5 (2000), 825–921  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib
    4. N. E. Dobrinskaya, “Classification Problem for Quasitoric Manifolds over a Given Simple Polytope”, Funct. Anal. Appl., 35:2 (2001), 83–89  mathnet  crossref  crossref  mathscinet  zmath  isi  elib
    5. T. E. Panov, “Hirzebruch genera of manifolds with torus action”, Izv. Math., 65:3 (2001), 543–556  mathnet  crossref  crossref  mathscinet  zmath  elib
    6. Buchstaber, VM, “Tangential structures on toric manifolds, and connected sums of polytopes”, International Mathematics Research Notices, 2001, no. 4, 193  crossref  mathscinet  zmath  isi  elib
    7. Dessai, A, “Bordism-finiteness and semi-simple group actions”, Geometriae Dedicata, 90:1 (2002), 49  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    8. A. A. Bolibrukh, A. P. Veselov, A. B. Zhizhchenko, I. M. Krichever, A. A. Mal'tsev, S. P. Novikov, T. E. Panov, Yu. M. Smirnov, “Viktor Matveevich Buchstaber (on his 60th birthday)”, Russian Math. Surveys, 58:3 (2003), 627–635  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi
    9. Gorbounov, V, “The chiral de rham complex and positivity of the equivariant signatures of some loop spaces”, Manuscripta Mathematica, 113:3 (2004), 359  crossref  mathscinet  zmath  isi  elib  scopus  scopus
    10. V. M. Buchstaber, T. E. Panov, N. Ray, “Spaces of polytopes and cobordism of quasitoric manifolds”, Mosc. Math. J., 7:2 (2007), 219–242  mathnet  crossref  mathscinet  zmath
    11. Buchstaber V.M., Ray N., “An invitation to toric topology: Vertex four of a remarkable tetrahedron”, Toric Topology, Contemporary Mathematics Series, 460, 2008, 1–27  crossref  mathscinet  zmath  isi
    12. Zhi Lü, “2-torus manifolds, cobordism and small covers”, Pacific J Math, 241:2 (2009), 285  crossref  mathscinet  zmath  isi  scopus  scopus
    13. V. M. Buchstaber, E. Yu. Bun'kova, “Krichever Formal Groups”, Funct. Anal. Appl., 45:2 (2011), 99–116  mathnet  crossref  crossref  mathscinet  zmath  isi  elib  elib
    14. V. M. Buchstaber, “Complex cobordism and formal groups”, Russian Math. Surveys, 67:5 (2012), 891–950  mathnet  crossref  crossref  mathscinet  zmath  adsnasa  isi  elib  elib
    15. N. Yu. Erokhovets, “Buchstaber invariant theory of simplicial complexes and convex polytopes”, Proc. Steklov Inst. Math., 286 (2014), 128–187  mathnet  crossref  crossref  isi  elib  elib
    16. Proc. Steklov Inst. Math., 286 (2014), 324–344  mathnet  crossref  crossref  isi  elib  elib
    17. Lue Zh., Tan Q., “Small Covers and the Equivariant Bordism Classification of 2-Torus Manifolds”, Int. Math. Res. Notices, 2014, no. 24, 6756–6797  crossref  mathscinet  zmath  isi  scopus  scopus
    18. Singh M., “Free 2-Rank of Symmetry of Products of Milnor Manifolds”, Homol. Homotopy Appl., 16:1 (2014), 65–81  crossref  mathscinet  zmath  isi  scopus  scopus
    19. Alastair Darby, “Torus manifolds in equivariant complex bordism”, Topology and its Applications, 189 (2015), 31  crossref  mathscinet  zmath  isi  scopus  scopus
    20. G. D. Solomadin, Yu. M. Ustinovskiy, “Projective toric polynomial generators in the unitary cobordism ring”, Sb. Math., 207:11 (2016), 1601–1624  mathnet  crossref  crossref  mathscinet  adsnasa  isi  elib
    21. Wiemeler M., “Circle actions and scalar curvature”, Trans. Am. Math. Soc., 368:4 (2016), 2939–2966  crossref  mathscinet  zmath  isi  scopus
    22. Lu Zh., Wang W., “Examples of quasitoric manifolds as special unitary manifolds”, Math. Res. Lett., 23:5 (2016), 1453–1468  crossref  mathscinet  zmath  isi  scopus  scopus
    23. Lu Zh., Panov T., “On toric generators in the unitary and special unitary bordism rings”, Algebr. Geom. Topol., 16:5 (2016), 2865–2893  crossref  mathscinet  zmath  isi  elib  scopus
    24. Wilfong A., “Toric polynomial generators of complex cobordism”, Algebr. Geom. Topol., 16:3 (2016), 1473–1491  crossref  mathscinet  zmath  isi  elib  scopus
    25. V. M. Buchstaber, “Cobordisms, manifolds with torus action, and functional equations”, Proc. Steklov Inst. Math., 302 (2018), 48–87  mathnet  crossref  crossref  mathscinet  isi  elib
    26. G. D. Solomadin, “Quasitoric Totally Normally Split Representatives in the Unitary Cobordism Ring”, Math. Notes, 105:5 (2019), 763–780  mathnet  crossref  crossref  mathscinet  isi  elib
    27. I. Yu. Limonchenko, T. E. Panov, G. Chernykh, “$SU$-bordism: structure results and geometric representatives”, Russian Math. Surveys, 74:3 (2019), 461–524  mathnet  crossref  crossref  adsnasa  isi  elib
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