Cohomologies ofn-simplex relations
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Publication:5360404
DOI10.1017/S030500411600030XzbMath1371.16038arXiv1409.3127OpenAlexW3102531430MaRDI QIDQ5360404
Georgy I. Sharygin, Dmitry Talalaev, Igor G. Korepanov
Publication date: 28 September 2017
Published in: Mathematical Proceedings of the Cambridge Philosophical Society (Search for Journal in Brave)
Full work available at URL: https://arxiv.org/abs/1409.3127
General topology of complexes (57Q05) Chain complexes in algebraic topology (55U15) Other homology theories in algebraic topology (55N35) Yang-Baxter equations (16T25)
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Nonlinear Schrödinger type tetrahedron maps, Zamolodchikov tetrahedral equation and higher Hamiltonians of \(2d\) quantum integrable systems, Tetrahedron maps, Yang–Baxter maps, and partial linearisations, Cohomology of the rational ``electric tetrahedron relation, Local Yang–Baxter correspondences and set-theoretical solutions to the Zamolodchikov tetrahedron equation, Nonconstant hexagon relations and their cohomology, Set-theoretical solutions to the Zamolodchikov tetrahedron equation on associative rings and Liouville integrability, Functional relations on anisotropic Potts models: from Biggs formula to the tetrahedron equation, Integrable 3D statistical models on six-valent graphs, Towards integrable structure in 3d Ising model, Grassmannian-parameterized solutions to direct-sum polygon and simplex equations, Algebraic and differential-geometric constructions of set-theoretical solutions to the Zamolodchikov tetrahedron equation
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