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Funktsional. Anal. i Prilozhen., 1996, Volume 30, Issue 3, Pages 19–33 (Mi faa535)  

This article is cited in 17 scientific papers (total in 17 papers)

Homological Properties of Dimer Configurations for Lattices on Surfaces

N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin

Steklov Mathematical Institute, Russian Academy of Sciences


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English version:
Functional Analysis and Its Applications, 1996, 30:3, 163–173

Bibliographic databases:

UDC: 514.8+515.162
Received: 22.02.1995

Citation: N. P. Dolbilin, Yu. M. Zinoviev, A. S. Mishchenko, M. A. Shtan'ko, M. I. Shtogrin, “Homological Properties of Dimer Configurations for Lattices on Surfaces”, Funktsional. Anal. i Prilozhen., 30:3 (1996), 19–33; Funct. Anal. Appl., 30:3 (1996), 163–173

Citation in format AMSBIB
\by N.~P.~Dolbilin, Yu.~M.~Zinoviev, A.~S.~Mishchenko, M.~A.~Shtan'ko, M.~I.~Shtogrin
\paper Homological Properties of Dimer Configurations for Lattices on Surfaces
\jour Funktsional. Anal. i Prilozhen.
\yr 1996
\vol 30
\issue 3
\pages 19--33
\jour Funct. Anal. Appl.
\yr 1996
\vol 30
\issue 3
\pages 163--173

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    This publication is cited in the following articles:
    1. Yu. M. Zinoviev, “The Onsager Formula”, Proc. Steklov Inst. Math., 228 (2000), 286–306  mathnet  mathscinet  zmath
    2. Regge, T, “Combinatorial and topological approach to the 3D Ising model”, Journal of Physics A-Mathematical and General, 33:4 (2000), 741  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    3. Zecchina, R, “Counting over non-planar graphs”, Physica A-Statistical Mechanics and Its Applications, 302:1–4 (2001), 100  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    4. Costa-Santos, R, “Dimers and the Critical Ising Model on lattices of genus > 1”, Nuclear Physics B, 623:3 (2002), 439  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    5. Costa-Santos, R, “Logarithmic corrections to the Ising model free energy on lattices with conical singularities”, Physical Review B, 68:22 (2003), 224423  crossref  adsnasa  isi  scopus  scopus
    6. Costa-Santos, R, “The Ising model in curved lattices”, Acta Physica Polonica B, 34:10 (2003), 4777  adsnasa  isi
    7. Costa-Santos, R, “Finite size corrections for the Ising model on higher genus triangular lattices”, Journal of Statistical Physics, 112:5–6 (2003), 889  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    8. Yu. M. Zinoviev, “Pfaffian and the Kac–Ward Formula in the Two-Dimensional Ising Model”, Proc. Steklov Inst. Math., 251 (2005), 132–145  mathnet  mathscinet  zmath
    9. Cimasoni, D, “Dimers on surface graphs and spin structures. I”, Communications in Mathematical Physics, 275:1 (2007), 187  crossref  mathscinet  zmath  adsnasa  isi  scopus
    10. Cimasoni, D, “Dimers on Graphs in Non-Orientable Surfaces”, Letters in Mathematical Physics, 87:1–2 (2009), 149  crossref  mathscinet  zmath  adsnasa  isi  scopus
    11. Cimasoni D., “A generalized Kac-Ward formula”, J Stat Mech Theory Exp, 2010, P07023  crossref  isi  scopus  scopus
    12. Boutillier C., de Tiliere B., “The critical Z-invariant Ising model via dimers: the periodic case”, Probab Theory Related Fields, 147:3–4 (2010), 379–413  crossref  mathscinet  zmath  isi  scopus  scopus
    13. Fjaerestad J.O., “Dimer and fermionic formulations of a class of colouring problems”, Journal of Physics a-Mathematical and Theoretical, 45:7 (2012), 075001  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    14. Cimasoni D., “The Critical Ising Model via Kac-Ward Matrices”, Commun. Math. Phys., 316:1 (2012), 99–126  crossref  mathscinet  zmath  adsnasa  isi  scopus  scopus
    15. Grigor'yan A., Muranov Yu.V., Yau Sh.-T., “Graphs Associated With Simplicial Complexes”, Homol. Homotopy Appl., 16:1 (2014), 295–311  crossref  mathscinet  zmath  isi  scopus  scopus
    16. Grigor'yan A., Lin Y., Muranov Yu., Yau Sh.-T., “Cohomology of Digraphs and (Undirected) Graphs”, Asian J. Math., 19:5 (2015), 887–932  crossref  mathscinet  isi  scopus  scopus
    17. Grigoryan A., Jimenez R., Muranov Yu., Yau Sh.-T., “On the Path Homology Theory of Digraphs and Eilenberg-Steenrod Axioms”, Homol. Homotopy Appl., 20:2 (2018), 179–205  crossref  mathscinet  zmath  isi  scopus
  • Функциональный анализ и его приложения Functional Analysis and Its Applications
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