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arXiv · 1004.4427

Hochschild cohomology and string topology of global quotient orbifolds

Andres Angel·Erik Backelin·Bernardo Uribe
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Abstract

Let M be a connected, simply connected, closed and oriented manifold, and G a finite group acting on M by orientation preserving diffeomorphisms. In this paper we show an explicit ring isomorphism between the orbifold string topology of the orbifold [M/G] and the Hochschild cohomology of the dg-ring obtained by performing the smash product between the group G and the singular cochain complex of M.

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Andres Angel, Erik Backelin, Bernardo Uribe. 2012-06-08. Hochschild cohomology and string topology of global quotient orbifolds. https://doi.org/10.1112/jtopol%2Fjts016

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