Representation spaces and quantum invariants of graphs
Dr R. Zentner (Universitaet Koeln)
Monday 17th September, 2012 16:00-17:00 214
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.