Mathematics – Algebraic Topology
Scientific paper
2010-04-26
Mathematics
Algebraic Topology
57 Pages
Scientific paper
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.
Angel Andres
Backelin Erik
Uribe Bernardo
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