School Seminars and Colloquia

The blob complex.

Algebra/Geometry/Topology Seminar

by Scott Morrison

Institution: ANU
Date: Fri 21st September 2012
Time: 3:15 PM
Location: 213 Richard Berry

Abstract: Topological field theories associate vector spaces to n-manifolds (and sometimes numbers to (n+1)-manifolds, although that won't concern us much). The blob complex provides a natural way to see these vector spaces as the 0-th homology of an invariant chain complex. I'll explain some nice properties of this chain complex, and tell you what we might hope to learn about manifolds by looking at the higher homologies of this chain complex.