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An Upsilon-like invariant from Khovanov-Rozansky homology

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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.

This talk is part of the Isaac Newton Institute Seminar Series series.

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