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Tautological classes and symmetry in Khovanov-Rozansky homology Gorsky, Eugene

Description

We define a new family of commuting operators F_k in Khovanov-Rozansky link homology, similar to the action of tautological classes in cohomology of character varieties. We prove that F_2 satisfies "hard Lefshetz property" and hence exhibits the symmetry in Khovanov-Rozansky homology conjectured by Dunfield, Gukov and Rasmussen. This is a joint work with Matt Hogancamp and Anton Mellit.

Item Metadata

Title
Tautological classes and symmetry in Khovanov-Rozansky homology
Creator
Gorsky, Eugene
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2021-05-18T13:01
Description
We define a new family of commuting operators F_k in Khovanov-Rozansky link homology, similar to the action of tautological classes in cohomology of character varieties. We prove that F_2 satisfies "hard Lefshetz property" and hence exhibits the symmetry in Khovanov-Rozansky homology conjectured by Dunfield, Gukov and Rasmussen. This is a joint work with Matt Hogancamp and Anton Mellit.
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: UC Davis
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
10.14288/1.0437286
URI
http://hdl.handle.net/2429/86277
Affiliation
Non UBC
Peer Review Status
Unreviewed
Scholarly Level
Faculty
Rights URI
http://creativecommons.org/licenses/by-nc-nd/4.0/
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Attribution-NonCommercial-NoDerivatives 4.0 International