Genuine Equivariant Factorization Homology
Factorization homology is an invariant of framed manifolds and E_n algebras, used for constructing quantum field theories. For one dimensional manifolds, this invariant recover topological Hochschild homology. This construction has an equivariant extension, where the manifold, the algebra and the result admit an action of a fixed finite group G. For one dimensional G-manifolds these invariants recover the 'real' and 'twisted' versions of topological Hochschild homology. In this talk we'll review factorization homology, present its equivariant extension, and discuss E_V algebras. If time permits, we'll discuss joint work with Inbar Klang and Foling Zou, including Equivariant non abelian Poincare duality, and some calculations of real and twisted topological Hochschild homology of Thom spectra.