Orbifold string topology

Lupercio, Ernesto; Uribe, Bernardo; Xicotencatl, Miguel A

doi:10.2140/gt.2008.12.2203

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Orbifold string topology

Ernesto Lupercio, Bernardo Uribe and Miguel A Xicotencatl

Geometry & Topology 12 (2008) 2203–2247

DOI: 10.2140/gt.2008.12.2203

Abstract

In this paper we study the string topology (à 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 and do some explicit calculations.

Keywords

orbifold, loop space, string topology

Mathematical Subject Classification 2000

Primary: 55P35

Secondary: 18D50, 55R35

References

Publication

Received: 22 January 2007

Revised: 8 July 2007

Accepted: 4 July 2008

Published: 8 August 2008

Proposed: Ralph Cohen

Seconded: Jim Bryan, Ron Stern

Authors

Ernesto Lupercio
Departamento de Matemáticas CINVESTAV Apartado Postal 14-740 07000 México DF México

Bernardo Uribe
Departamento de Matemáticas Universidad de los Andes Carrera 1 N. 18A - 10, Bogotá Colombia

Miguel A Xicotencatl
Departamento de Matemáticas CINVESTAV Apartado Postal 14-740 07000 México DF México

Volume 12, issue 4 (2008)