Combinatorial generators for the cohomology of toric arrangements

IF 0.6 4区数学 Q3 MATHEMATICS Topology and its Applications Pub Date : 2024-07-30 DOI:10.1016/j.topol.2024.109027

Filippo Callegaro , Emanuele Delucchi

引用次数: 0

Abstract

We give a new combinatorial description of the cohomology ring structure of $H^{⁎} (M (A); Z)$ of the complement $M (A)$ of a real complexified toric arrangement $A$ in ${(C^{⁎})}^{d}$ . In particular, we correct an error in the paper [4].

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环状排列同调的组合生成器

我们给出了在......中实复环状排列的补集的同调环结构的新组合描述，特别是纠正了论文中的一个错误。

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来源期刊

Topology and its Applications 数学-数学

CiteScore

1.20

自引率

33.30%

发文量

251

审稿时长

6 months

期刊介绍： Topology and its Applications is primarily concerned with publishing original research papers of moderate length. However, a limited number of carefully selected survey or expository papers are also included. The mathematical focus of the journal is that suggested by the title: Research in Topology. It is felt that it is inadvisable to attempt a definitive description of topology as understood for this journal. Certainly the subject includes the algebraic, general, geometric, and set-theoretic facets of topology as well as areas of interactions between topology and other mathematical disciplines, e.g. topological algebra, topological dynamics, functional analysis, category theory. Since the roles of various aspects of topology continue to change, the non-specific delineation of topics serves to reflect the current state of research in topology. At regular intervals, the journal publishes a section entitled Open Problems in Topology, edited by J. van Mill and G.M. Reed. This is a status report on the 1100 problems listed in the book of the same name published by North-Holland in 1990, edited by van Mill and Reed.

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