Title	Involutive Heegaard Floer homology
Creator	Hendricks, Kristen
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-02-23T09:01
Description	In joint work with C. Manolescu, we use the conjugation symmetry on the Heegaard Floer complexes to define a three-manifold invariant called involutive Heegaard Floer homology, which is meant to correspond to \(Z_4\)-equivariant Seiberg-Witten Floer homology. From this we obtain two new invariants of homology cobordism, explicitly computable for surgeries on L-space knots and quasi-alternating knots, and two new concordance invariants of knots, one of which (unlike other invariants arising from Heegaard Floer homology) detects non-sliceness of the figure-eight knot.
Extent	65 minutes
Subject	Mathematics; Manifolds and cell complexes; Differential geometry; Low dimensional topology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: UCLA
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-08-24
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0308747
URI	http://hdl.handle.net/2429/58961
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Postdoctoral
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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