English

Orbit configuration space of standard action and cellular methods of poset

Algebraic Topology 2021-11-01 v2 Combinatorics

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.

Keywords

Cite

@article{arxiv.2110.13574,
  title  = {Orbit configuration space of standard action and cellular methods of poset},
  author = {Junda Chen},
  journal= {arXiv preprint arXiv:2110.13574},
  year   = {2021}
}