|Lukas Lewark Universität Bern
|27 June 2017 – 13:30 to 14:30
|INI Seminar Room 1
|An Upsilon-like invariant from Khovanov-Rozansky homology
|[HTLW04] Quantum topology and categorified representation theory
|Co-author: Andrew Lobb (Durham University)
Khovanov-Rozansky homology in its most general form (so-called equivariant homology) associates to a knot a chain complex (invariant up to homotopy equivalence) over a certain polynomial ring. Equivariant homology yields various lower bounds to the slice genus, some of them concordance homomorphisms, some not; and also a piecewise linear function which has much resemblance with the recently introduced Upsilon-invariant from Heegaard-Floer homology.