Title	Invariants of 4-manifolds from Khovanov-Rozansky link homology
Creator	Wedrich, Paul
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2021-05-21T10:01
Description	Ribbon categories are 3-dimensional algebraic structures that control quantum link polynomials and that give rise to 3-manifold invariants known as skein modules. I will describe how to use Khovanov-Rozansky link homology, a categorification of the gl(N) quantum link polynomial, to obtain a 4-dimensional algebraic structure that gives rise to vector space-valued invariants of smooth 4-manifolds. The technical heart of this construction is the functoriality of Khovanov-Rozansky homology in the 3-sphere. Based on joint work with Scott Morrison and Kevin Walker.
Extent	70.0 minutes
Subject	Mathematics; Category Theory; Homological Algebra; Quantum Theory; Algebraic Topology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Max Planck Institute for Mathematics and University of Bonn
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	10.14288/1.0437280
URI	http://hdl.handle.net/2429/86271
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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