Combinatorics of a statistical model constructed from the 2 × n square lattice


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Abstract

Various weight functions for the model of a 2×n square lattice are defined so that the graded Euler characteristic for the complex corresponding to this model remain equal to the usual one. Differentials preserving these gradings and determining one-dimensional cohomology are also specified.

About the authors

B. L. Feigin

Higher School of Economics—National Research University

Author for correspondence.
Email: borfeigin@gmail.com
Russian Federation, Moscow

V. V. Sopin

Higher School of Economics—National Research University

Email: borfeigin@gmail.com
Russian Federation, Moscow

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