非阿贝尔简体还原链复合物的相对性

IF 1.1 3区数学 Q1 MATHEMATICS

Results in Mathematics Pub Date : 2024-05-13 DOI:10.1007/s00025-024-02188-2

A. Zuevsky

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引用次数: 0

摘要

研究考虑了具有还原微分的非阿贝尔单纯形与相关空间的链式全双复。根据猜想，相应的相对同调等价于与复数微分相关的非消失函数的消失函数余集空间。该猜想得到了顶点算子代数束上相关函数空间和广义连接的定理的支持。

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Relativity of Reductive Chain Complexes of Non-abelian Simplexes

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 functionals 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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来源期刊

Results in Mathematics 数学-数学

CiteScore

1.90

自引率

4.50%

发文量

198

审稿时长

6-12 weeks

期刊介绍： Results in Mathematics (RM) publishes mainly research papers in all fields of pure and applied mathematics. In addition, it publishes summaries of any mathematical field and surveys of any mathematical subject provided they are designed to advance some recent mathematical development.