Mathematics Colloquium - Andras Stipsicz

Andras Stipsicz - Alfréd Rényi Institute of Mathematics, Hungarian Academy of Sciences
"The Upsilon-invariant of knots"

Abstract: Knot Floer homology is a refinement of Heegaard Floer homology, providing an invariant for a pair (a 3-manifold, a knot in it). For knots in the 3-sphere, the invariant 'categorifies' the Alexander polynomial, and provides further interesting information about knots. In its most general form the construction provides a bifiltered chain complex.
   Recently, in collaboration with P. Ozsvath and Z. Szabo, we have found a new way of getting knot invariants out of this chain complex, leading to a 1-parameter family of concordance invariants, called the Upsilon-invariant of the knot. I will explain the idea behind the definition, and show a simple application of the Upsilon-function.

Event Date: 
September 19, 2017 - 3:30pm to 4:30pm
213 MLH
Keiko Kawamuro
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