- Library Home /
- Search Collections /
- Open Collections /
- Browse Collections /
- BIRS Workshop Lecture Videos /
- Relative adjunction inequalities and their applications
Open Collections
BIRS Workshop Lecture Videos
BIRS Workshop Lecture Videos
Relative adjunction inequalities and their applications Hedden, Matthew
Description
I'll discuss ongoing joint work with Katherine Raoux that uses knot Floer homology to establish relative adjunction inequalities. These inequalities bound the Euler characteristics of properly embedded smooth cobordisms between links in the boundary of certain smooth 4-manifolds. The inequalities generalize the slice genus bound for the "tau" invariant studied by Ozsvath-Szabo and Rasmussen. I will use our inequalities to define concordance invariants of links, prove new results about contact structures, motivate a 4-dimensional interpretation of tightness, and to show that knots with simple Floer homology in lens spaces (or L-spaces) minimize rational slice genus amongst all curves in their homology class, upgrading a remarkable result of Ni and Wu pertaining to the rational Seifert genus.
Item Metadata
Title |
Relative adjunction inequalities and their applications
|
Creator | |
Publisher |
Banff International Research Station for Mathematical Innovation and Discovery
|
Date Issued |
2020-06-08T09:02
|
Description |
I'll discuss ongoing joint work with Katherine Raoux that uses knot Floer homology to establish relative adjunction inequalities. These inequalities bound the Euler characteristics of properly embedded smooth cobordisms between links in the boundary of certain smooth 4-manifolds. The inequalities generalize the slice genus bound for the "tau" invariant studied by Ozsvath-Szabo and Rasmussen. I will use our inequalities to define concordance invariants of links, prove new results about contact structures, motivate a 4-dimensional interpretation of tightness, and to show that knots with simple Floer homology in lens spaces (or L-spaces) minimize rational slice genus amongst all curves in their homology class, upgrading a remarkable result of Ni and Wu pertaining to the rational Seifert genus.
|
Extent |
58.0 minutes
|
Subject | |
Type | |
File Format |
video/mp4
|
Language |
eng
|
Notes |
Author affiliation: Michigan State University
|
Series | |
Date Available |
2020-12-13
|
Provider |
Vancouver : University of British Columbia Library
|
Rights |
Attribution-NonCommercial-NoDerivatives 4.0 International
|
DOI |
10.14288/1.0395252
|
URI | |
Affiliation | |
Peer Review Status |
Unreviewed
|
Scholarly Level |
Faculty
|
Rights URI | |
Aggregated Source Repository |
DSpace
|
Item Media
Item Citations and Data
Rights
Attribution-NonCommercial-NoDerivatives 4.0 International