Bonn Topology Group - Abstracts

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DAVID AYALA (USC): Poincare Koszul duality


Factorization homology is an assignment of an object (such as a chain complex) to an n-manifold and an n-disk algebra. Should the input n-disk algebra be a commutative algebra A, this recovers ordinary homology with coefficients in A; in general, this retains more information about manifolds than their underlying homotopy type. In this talk we will lift Poincare' duality to factorization homology as it intertwines with Koszul duality for n-disk algebras -- all terms will be explained. We will point out a number of consequences of this duality, which concern manifold invariants as well as algebraic invariants.

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