Orbifold string topology

Lupercio, Ernesto¹ ; Uribe, Bernardo² ; Xicotencatl, Miguel A¹

¹ Departamento de Matemáticas, CINVESTAV, Apartado Postal 14-740, 07000 México, DF México
² Departamento de Matemáticas, Universidad de los Andes, Carrera 1 N. 18A - 10, Bogotá, Colombia

Geometry & topology, Tome 12 (2008) no. 4, pp. 2203-2247.

Résumé

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.

Détail

DOI : 10.2140/gt.2008.12.2203

Keywords: orbifold, loop space, string topology

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