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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

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