Babytop

Student seminar in topology

Fall 2004






Vigleik Angeltveit
String Topology

Abstract:

Let LM=Map(S^1,M) be the free loop space on an oriented manifold. I will sketch how Chas and Sullivan defined a product and a Lie bracket on H_*(LM) making it into a Gerstenhaber algebra. I will then discuss how Cohen and Jones realized this as a product of spectra, and show how this has something to do with topological Hochschild cohomology. Time permitting, I will also discuss some possible generalizations.