Title	The Upsilon invariant
Creator	Stipsicz, Andras
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-02-22T13:45
Description	Knot Floer homology is a refinement of Heegaard Floer homology, providing an invariant for a pair (a 3-manifold, a knot in it). Recently, in collaboration with P. Ozsvath and Z. Szabo, we have found a 1-parameter 'deformation' of knot Floer homology for knots in S^3, leading to a family of concordance invariants. For the value t=1 the deformation admits a further symmetry, providing a bound on the unoriented 4 ball genus (smooth crosscap number) of the knot at hand. In the lecture I plan to recall the basic constructions behind knot Floer homology, list its basic properties, and show how the deformation works. Using grid diagrams we will discuss a sketch of the proof of the genus bounds.
Extent	67 minutes
Subject	Mathematics; Manifolds and cell complexes; Differential geometry; Low dimensional topology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Hungarian Academy of Sciences
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-08-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0308720
URI	http://hdl.handle.net/2429/58934
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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