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Equivariant higher Hochschild homology and topological field theories

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Lukas Müller
Heriot-Watt University
Fri, 2018-08-17 10:30 - 11:00
MPIM Lecture Hall

We present a version of higher Hochschild homology for spaces equipped with principal G-bundles. As coefficients we allow $E_\infty$-algebras with G-action. For this homology theory we establish an  equivariant version of excision to prove that it extends to an equivariant topological field theory with values in the $(\infty,1)$-category of co-spans in $E_\infty$-algebras. As an example we construct equivariant Dijkgraaf-Witten theories.  This is joint work in progress with Lukas Woike.

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