From representation spaces to quantum invariants of graphs
Motivated by Kronheimer and Mrowka's discovery on the relation between Khovanov homology of knots and singular SU(2) instanton Floer homology of knots and links, we look for evidence for a relationship between Khovanov-Rozansky homology and SU(N) instanton Floer homology. One is naturally lead to consider representation spaces of planar bi-coloured trivalent graphs, rather than just knots, and we get an interesting relationship between these representation spaces and quantum invariants of planar graphs. This is joint work with Andrew Lobb.
Dr. Raphael Zentner, Universität zu Köln
im Allianzgebäude (05.20)