English

Pretty rational models for Poincar\'e duality pairs

Algebraic Topology 2019-02-13 v1

Abstract

We prove that a large class of Poincar\'e duality pairs admit rational models (in the sense of Sullivan) of a particularly nice form associated to some Poincar\'e duality CDGA. These models have applications in particular to the construction of rational models of configuration spaces in compact manifolds with boundary.

Keywords

Cite

@article{arxiv.1505.04818,
  title  = {Pretty rational models for Poincar\'e duality pairs},
  author = {Hector Cordova Bulens and Pascal Lambrechts and Donald Stanley},
  journal= {arXiv preprint arXiv:1505.04818},
  year   = {2019}
}

Comments

18 pages

R2 v1 2026-06-22T09:36:44.311Z