Title	Khovanov homology and the search for exotic 4-spheres
Creator	Manolescu, Ciprian
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2021-05-17T13:01
Description	A well-known strategy to disprove the smooth 4D Poincare conjecture is to find a knot that bounds a disk in a homotopy 4-ball but not in the standard 4-ball. Freedman, Gompf, Morrison and Walker suggested that Rasmussenâ s invariant from Khovanov homology could be useful for this purpose. I will describe three recent results about this strategy: that it fails for Gluck twists (joint work with Marengon, Sarkar and Willis); that an analogue works for other 4-manifolds (joint work with Marengon and Piccirillo); and that 0-surgery homeomorphisms provide a large class of potential examples (joint work with Piccirillo).
Extent	60.0 minutes
Subject	Mathematics; Category Theory; Homological Algebra; Quantum Theory; Algebraic Topology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Stanford University
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2023-10-23
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0437288
URI	http://hdl.handle.net/2429/86279
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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