# String Topology and Higher Operations

Algebra/Geometry/Topology Seminar

#### by Tarje Bargheer

Institution: University of Melbourne
Date: Fri 31st August 2012
Time: 3:15 PM
Location: 213 Richard Berry

Abstract: String topology as operations associated to the free mapping spaces
$$M^{S^n}$$, will be introduced from the point of view of my thesis. I
will then go on to describe work in progress on how this construction
leads to an extension of string topology, entangling it via Khovanov
homology. This makes the construction into a knot-invariant, where the
original string topology operations of Chas and Sullivan can be seen
as arising from the unknot.