Orbit configuration space of standard action and cellular methods of poset

2021/10/26 by Jun‐Da Chen, Chen, Junda
Mathematics · #Advanced Combinatorial Mathematics #Algebraic Topology (math.AT) #Algebraic structures and combinatorial models #Combinatorics (math.CO) #FOS: Mathematics #Homotopy and Cohomology in Algebraic Topology

paper · pdf · doi:10.48550/arxiv.2110.13574

openalex publication_date 2021/10/26 · openalex created_date 2021/11/08 · openalex updated_date 2026/07/28

Abstract

We extend the existing idea of "cellular poset", introduce a collection of "cellular methods" for the computation of homology of intersection lattice of a complicated subspace arrangement, and for the computation of multiplicative structure induced by intersection. As an application, we give a presentation of cohomology ring of orbit configuration space of standard action by cellular methods and a spectral sequence associated with Grothendieck fibration of poset.

Citations

• Cohomology ring of manifold arrangements

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