School Seminars and Colloquia

Excisive invariants of manifolds and links

Algebra/Geometry/Topology Seminar

by David Ayala

Institution: University of Southern California
Date: Fri 8th March 2013
Time: 4:00 PM
Location: 213 Richard Berry

Abstract: Numerous interesting examples of invariants of 3-manifolds and links satisfy a local-to-global expression. In this talk, we will axiomatize invariants satisfying such an expression and classify them in terms of algebraic data. A few examples will be explicated. The basic construction is an elaboration of configuration spaces with labels. Through this language there is a refinement of Poincar\'e duality which leads to some interesting conclusions.