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Upper bounds for the topological slice genus of knots (Feller/Lewark) Lewark, Lukas
Description
In 1981, Freedman proved that knots with trivial Alexander polynomial bound a locally flat disc in the four-ball. As a consequence, the degree of the Alexander polynomial constitutes an upper bound for the topological slice genus of a knot (F., 2015). We discuss a stronger bound, which is still determined solely by the knot's Seifert form. As sample applications, we will see upper bounds for the slice genus of torus knots (Baader, F., L., Liechti) and two-bridge knots (F., Mccoy), and for the stable slice genus of alternating knots (Baader, L.)."
Item Metadata
Title |
Upper bounds for the topological slice genus of knots (Feller/Lewark)
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Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
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Date Issued |
2016-02-23T16:22
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Description |
In 1981, Freedman proved that knots with trivial Alexander polynomial bound a locally flat disc in the four-ball. As a consequence, the degree of the Alexander polynomial constitutes an upper bound for the topological slice genus of a knot (F., 2015). We discuss a stronger bound, which is still determined solely by the knot's Seifert form. As sample applications, we will see upper bounds for the slice genus of torus knots (Baader, F., L., Liechti) and two-bridge knots (F., Mccoy), and for the stable slice genus of alternating knots (Baader, L.)."
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Extent |
38 minutes
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Subject | |
Type | |
File Format |
video/mp4
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Language |
eng
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Notes |
Author affiliation: Universität Bern
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Series | |
Date Available |
2016-08-24
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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 |
10.14288/1.0308750
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URI | |
Affiliation | |
Peer Review Status |
Unreviewed
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Scholarly Level |
Postdoctoral
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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