Bonn Topology Group - Abstracts

General Information - Members - Activities - Topology Seminar - Graduiertenkolleg

Talk

DAVID AYALA (USC): Poincare Koszul duality

Abstract

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.

Back to seminar page