On the Cohomology Ring of Real Moment-Angle Complexes

Research & Scholarship: Chapter in Book/Report/Conference proceedingChapter

Abstract

In this article, we study the cohomology ring of real momentangle complexes over a simplicial complex K. Combinatorial generators for the cohomology can be given in terms of K. For K the boundary of an n-gon, we give a full description of the multiplicative structure of the cohomology ring in terms of the combinatorial generators. As a consequence, it is evident that these generators do not form a symplectic basis, unlike the case for moment-angle complexes.

Original languageAmerican English
Title of host publicationFields Institute Communications
PublisherSpringer
Pages313-326
Number of pages14
VolumeVIII
Edition1
ISBN (Electronic)978-3-031-57204-3
ISBN (Print)978-3-031-57203-6
DOIs
StatePublished - 2024

Publication series

NameFields Institute Communications
PublisherSpringer
ISSN (Print)1069-5265
ISSN (Electronic)2194-1564

Disciplines

  • Physical Sciences and Mathematics

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