Title	Khovanov homology and the L-space conjecture
Creator	Watson, Liam
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2019-06-19T09:31
Description	The L-space conjecture relates non-left-orderability of 3-manifold groups to Heegaard Floer homology lens-spaces, or, L-spaces. In this talk I will give the definition of an L-space , and attempt to give a feeling for this class of manifolds by focusing on some examples. One class of examples is due to OzsvÃ¡th and SzabÃ³: branched double covers of the 3-sphere with branch set a non-split alternating link. This leads to a surprising conjecture (implied by the L-space conjecture) relating simplicity in Khovanov homology to non-left-orderability of the fundamental group of the branched double cover.
Extent	62.0 minutes
Subject	Mathematics; Algebraic topology; Dynamical systems and ergodic theory
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: University of British Columbia
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2019-12-17
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0387162
URI	http://hdl.handle.net/2429/72801
Affiliation	Non UBC
Peer Review Status	Unreviewed
Scholarly Level	Researcher
Rights URI	http://creativecommons.org/licenses/by-nc-nd/4.0/
Aggregated Source Repository	DSpace

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