The homology coalgebra and cohomology algebra of generalized moment-angle complexes

2012/01/24 by Qibing Zheng, Zheng, Qibing · 2 citations
Chemistry · Mathematics · #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #FOS: Mathematics #Molecular spectroscopy and chirality

paper · pdf · doi:10.48550/arxiv.1201.4917

openalex publication_date 2012/01/24 · openalex created_date 2016/06/24 · openalex updated_date 2026/07/28

Abstract

In this paper, we compute the homology coalgebra and cohomology algebra over a field of all generalized moment-angle complexes and give a duality theorem on complementary moment-angle complexes.

Citations

• The polyhedral product functor: a method of computation for moment-angle complexes, arrangements and related spaces

Cited by

• A spectral sequence for polyhedral products
• A Cartan formula for the cohomology of polyhedral products and its application to the ring structure

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