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Sutured Khovanov-Lee homology and braids Grigsby, J. Elisenda

Description

I will describe joint work in progress with Tony Licata aimed at understanding an annular version of Lee's deformation of the Khovanov complex. In particular, we obtain a family of real-valued braid conjugacy class invariants generalizing Rasmussen's "s" invariant that give bounds on the Euler characteristic of smoothly-imbedded surfaces in the thickened solid torus. The algebraic model for this construction is the recently-defined Upsilon invariant of Ozsvath-Stipsicz-Szabo.

Item Metadata

Title
Sutured Khovanov-Lee homology and braids
Creator
Grigsby, J. Elisenda
Publisher
Banff International Research Station for Mathematical Innovation and Discovery
Date Issued
2016-03-22T09:00
Description
I will describe joint work in progress with Tony Licata aimed at understanding an annular version of Lee's deformation of the Khovanov complex. In particular, we obtain a family of real-valued braid conjugacy class invariants generalizing Rasmussen's "s" invariant that give bounds on the Euler characteristic of smoothly-imbedded surfaces in the thickened solid torus. The algebraic model for this construction is the recently-defined Upsilon invariant of Ozsvath-Stipsicz-Szabo.
Extent
54 minutes
Subject
Mathematics; Manifolds and cell complexes; Global analysis, analysis on manifolds; Low dimensional topology
Type
Moving Image
File Format
video/mp4
Language
eng
Notes
Author affiliation: Boston College
Series
BIRS Workshop Lecture Videos (Banff, Alta)
Date Available
2016-09-20
Provider
Vancouver : University of British Columbia Library
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International
DOI
10.14288/1.0314389
URI
http://hdl.handle.net/2429/59242
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