English

Polynomial Assignments

Algebraic Topology 2013-04-19 v2

Abstract

The concept of assignments was introduced in [GGK99] as a method for extracting geometric information about group actions on manifolds from combinatorial data encoded in the infinitesimal orbit-type stratification. In this paper we will answer in the affirmative a question posed in [GGK99] by showing that the equivariant cohomology ring of MM is to a large extent determined by this data.

Keywords

Cite

@article{arxiv.1303.0312,
  title  = {Polynomial Assignments},
  author = {Victor Guillemin and Silvia Sabatini and Catalin Zara},
  journal= {arXiv preprint arXiv:1303.0312},
  year   = {2013}
}

Comments

24 pages. Some incorrect results have been removed

R2 v1 2026-06-21T23:35:18.752Z