On Geometry and Topology of 4-Orbifolds
Differential Geometry
2014-11-07 v1 Algebraic Topology
Geometric Topology
Abstract
We prove an analogue of the result of Hsiang and Kleiner for 4-dimensional compact orbifolds with positive curvature and an isometric circle action. Additionally, we prove that when the underlying space is simply connected, then the orbifold fundamental group provides a bound on the failure of integer-valued Poincare Duality of the underlying space, and if the orbifold is simply connected, then ineteger-valued Poincre Duality holds for the underlying space.
Keywords
Cite
@article{arxiv.1411.1700,
title = {On Geometry and Topology of 4-Orbifolds},
author = {Dmytro Yeroshkin},
journal= {arXiv preprint arXiv:1411.1700},
year = {2014}
}