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An Upsilon-like invariant from Khovanov-Rozansky homology

Presented by: 
Lukas Lewark Universität Bern
Tuesday 27th June 2017 - 13:30 to 14:30
INI Seminar Room 1
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.
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University of Cambridge Research Councils UK
    Clay Mathematics Institute London Mathematical Society NM Rothschild and Sons