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Relativity of reductive chain complexes of non-abelian simplexes

2023/10/13 by Alexander Zuevsky, Zuevsky, A. · 1 citation
Chemistry · Mathematics · #Molecular spectroscopy and chirality #Algebraic structures and combinatorial models #Advanced Algebra and Geometry

paper · pdf · doi:10.48550/arxiv.2310.09156

Abstract

Chain total double complexes with reductive differentials for non-abelian simplexes with associated spaces are considered. It is conjectured that corresponding relative cohomology is equivalent to the coset space of vanishing over non-vanishing functionals related to differentials of complexes. The conjecture is supported by the theorem for the case of spaces of correlation functions and generalized connections on vertex operator algebra bundles.

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