Orbifold string topology

Ernesto Lupercio; Bernardo Uribe; Miguel A Xicotencatl

doi:10.2140/gt.2008.12.2203

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Home > Journals > Geom. Topol. > Volume 12 > Issue 4 > Article

2008 Orbifold string topology

Ernesto Lupercio, Bernardo Uribe, Miguel A Xicotencatl

Geom. Topol. 12(4): 2203-2247 (2008). DOI: 10.2140/gt.2008.12.2203

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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.

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Ernesto Lupercio. Bernardo Uribe. Miguel A Xicotencatl. "Orbifold string topology." Geom. Topol. 12 (4) 2203 - 2247, 2008. https://doi.org/10.2140/gt.2008.12.2203