Geometry & Topology

Orbifold string topology

Ernesto Lupercio, Bernardo Uribe, and Miguel A Xicotencatl

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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.

Article information

Geom. Topol., Volume 12, Number 4 (2008), 2203-2247.

Received: 22 January 2007
Revised: 8 July 2007
Accepted: 4 July 2008
First available in Project Euclid: 20 December 2017

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Digital Object Identifier

Mathematical Reviews number (MathSciNet)

Zentralblatt MATH identifier

Primary: 55P35: Loop spaces
Secondary: 18D50: Operads [See also 55P48] 55R35: Classifying spaces of groups and $H$-spaces

orbifold loop space string topology


Lupercio, Ernesto; Uribe, Bernardo; Xicotencatl, Miguel A. Orbifold string topology. Geom. Topol. 12 (2008), no. 4, 2203--2247. doi:10.2140/gt.2008.12.2203.

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