English

On Poincare Duality for Orbifolds

Algebraic Topology 2017-08-09 v2 Geometric Topology

Abstract

In this paper we address the relation between the orbifold fundamental group and the topology of the underlying space. In particular, under the assumption that the orbifold fundamental group is equal to the fundamental group of the underlying space, we prove Poincar\'e Duality for orbifolds of dimension 4 and 5.

Keywords

Cite

@article{arxiv.1502.03384,
  title  = {On Poincare Duality for Orbifolds},
  author = {Dmytro Yeroshkin},
  journal= {arXiv preprint arXiv:1502.03384},
  year   = {2017}
}

Comments

This paper is an expansion of the topological part of arXiv:1411.1700 [math.DG]

R2 v1 2026-06-22T08:27:47.989Z