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无限经典族球面与仿射Artin群的整上同调

Integral cohomology of the spherical and affine Artin groups of infinite classical families

F. V. Weinstein

arXiv 2609.15419首次发表:更新:

AI 中文总结

本文利用代数Salvetti复形和Fuchs复形,描述了除仿射族$\widetilde A$外的无限经典族Artin群的整上同调代数加法结构。

AI 中文摘要

本文描述了与无限经典族Coxeter群相关的Artin群的整上同调代数的加法结构,但仿射族$\widetilde A$除外。我们的主要工具是代数Salvetti复形和辫群的Fuchs复形。

英文摘要

This paper describes the additive structure of the integral cohomology algebras for the Artin groups associated with the infinite classical families of Coxeter groups, with the exception of the affine family $\widetilde A$. Our primary tools are the algebraic Salvetti complex and the Fuchs complex for the braid groups.

Comments43 pages, 4 figures. Minor revisions: added a reference to Fuchs, restored a sentence in the Introduction, removed a duplicated sentence, and made several minor corrections

论文原文

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