On Poincare Duality for Orbifolds

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 Poincaré Duality for orbifolds of dimension 4 and 5.

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

References in corpus (2)

• On the notions of suborbifold and orbifold embedding
• Orbifold Biquotients of SU(3)

Cited by in corpus (1)

• Torsion in the cohomology of torus orbifolds