Nonabelian Poincare duality theorem and equivariant factorization homology of Thom spectra

Abstract: The factorization homology are invariants of n-dimensional manifolds with some fixed tangential structures that take coefficients in suitable $\mathbb{E}_n$-algebras. I will give a definition for the equivariant factorization homology of a framed manifold for a finite group G via a monadic bar construction following Miller-Kupers. I will also talk about the unital variant of symmetric sequences that is underneath this construction. Then I will talk about the equivariant nonabelian Poincare duality theorem in this case and the equivariant factorization homology on equivariant spheres for certain Thom spectra. This is joint with Asaf Horev, Inbar Klang, Peter May and Ruoqi Zhang.

algebraic topology

Audience: researchers in the topic

MIT topology seminar

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