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Khovanov-Rozansky smooth sliceness obstructions Lobb, Andrew
Description
(Joint work with Lukas Lewark). Rasmussen's invariant from perturbed Khovanov cohomology is a concordance homomorphism to the integers which also gives a lower bound on the smooth slice genus. Khovanov-Rozansky sl(n) cohomology generalizes Khovanov cohomology (which appears as the case n=2) and perturbations of it give rise both to a slew of concordance homomorphisms which are also lower bounds as well as to lower bounds which are not equivalent to concordance homomorphisms. For the case n=2 there is essentially only one perturbation, while already perturbations of the case n=3 exhibit complicated behavior. We shall discuss this.
Item Metadata
Title |
Khovanov-Rozansky smooth sliceness obstructions
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-02-25T13:35
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Description |
(Joint work with Lukas Lewark). Rasmussen's invariant from perturbed Khovanov cohomology is a concordance homomorphism to the integers which also gives a lower bound on the smooth slice genus. Khovanov-Rozansky sl(n) cohomology generalizes Khovanov cohomology (which appears as the case n=2) and perturbations of it give rise both to a slew of concordance homomorphisms which are also lower bounds as well as to lower bounds which are not equivalent to concordance homomorphisms. For the case n=2 there is essentially only one perturbation, while already perturbations of the case n=3 exhibit complicated behavior. We shall discuss this.
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Extent |
65 minutes
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Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Durham University
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Series | |
Date Available |
2016-08-26
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Provider |
Vancouver : University of British Columbia Library
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Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
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DOI |
10.14288/1.0309353
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Faculty
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Rights URI | |
Aggregated Source Repository |
DSpace
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Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International