Orbifold String Topology
Algebraic Topology
2008-07-28 v2 Mathematical Physics
math.MP
Quantum Algebra
Abstract
In this paper we study the string topology (\'a la Chas-Sullivan) of an orbifold. We define the string homology ring product at the level of the free loop space of the classifying space of an orbifold. We study its properties (introducing an operad to do so) and do some explicit calculations.
Keywords
Cite
@article{arxiv.math/0512658,
title = {Orbifold String Topology},
author = {Ernesto Lupercio and Bernardo Uribe and Miguel A. Xicotencatl},
journal= {arXiv preprint arXiv:math/0512658},
year = {2008}
}
Comments
47 pages. Major revisions on sections 5 and 6. Accepted for publication in Geometry and Topology