Equivariant Higher Hochschild Homology and Topological Field Theories [article]

Lukas Müller, Lukas Woike
2019 arXiv   pre-print
We present a version of higher Hochschild homology for spaces equipped with principal bundles for a structure group G. As coefficients, we allow E_∞-algebras with G-action. For this homology theory, we establish an equivariant version of excision and prove that it extends to an equivariant topological field theory with values in the (∞,1)-category of cospans of E_∞-algebras.
arXiv:1809.06695v2 fatcat:iqim3xgv6rggnamtnxis53hnja