Title	Knot filtration on ECH
Creator	Hutchings, Michael
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-03-21T14:20
Description	Given a transverse knot in \(S^3\), together with an irrational number, one can define a filtration on the embedded contact homology of \(S^3\). This filtration is functorial with respect to symplectic cobordisms between transverse knots. Not much is known about this filtration in general (although it might be interesting to try to relate it to filtrations coming from Heegaard Floer theory). However the computation of this filtration for the unknot has significant implications for two-dimensional dynamics. Namely, for an area-preserving map of the disk, the filtration allows us to relate the mean action of periodic orbits to the Calabi invariant.
Extent	60 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: University of California
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	10.14288/1.0314353
URI	http://hdl.handle.net/2429/59221
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Faculty
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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