English

Poincar\'e duality for spaces with isolated singularities

Algebraic Topology 2016-09-27 v3

Abstract

In this paper we assign, under reasonable hypothesis, to each pseudomanifold with isolated singularities a rational Poincar\'e duality space. These spaces are constructed with the formalism of intersections spaces defined by Markus Banagl and are indeed related to them in the even dimensional case.

Keywords

Cite

@article{arxiv.1507.07407,
  title  = {Poincar\'e duality for spaces with isolated singularities},
  author = {Mathieu Klimczak},
  journal= {arXiv preprint arXiv:1507.07407},
  year   = {2016}
}

Comments

New version of the paper formerly known as "Spatialization of self dual complexes for spaces with isolated singularities". Final version to appear in manuscripta mathematica

R2 v1 2026-06-22T10:19:26.522Z