Title	Heegaard-Floer homology, foliations, and the left-orderability of fundamental groups
Creator	Boyer, Steven
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2017-07-31T16:30
Description	In this talk we survey the known connections and evidence supporting the conjectured equivalence of the following three properties of a closed, connected, orientable, irreducible 3-manifold W: (i) W admits a co-oriented taut foliation; (ii) W has a left-orderable fundamental group; (iii) W is a Heegaard-Floer L-space. In particular, we discuss the relativisation of the conjectures which led to the confirmation of the conjecture for graph manifolds, and the subsequent open problems suggested by the work of Jonathan Hanselman, Jake Rasmussen, Sarah Rasmussen and Liam Watson.
Extent	64 minutes
Subject	Mathematics; Manifolds and cell complexes; Differential geometry; Low dimensional topology
Type	Moving Image
File Format	video/mp4
Language	eng
Notes	Author affiliation: Université du Québec à Montréal
Series	BIRS Workshop Lecture Videos (Oaxaca de Juárez (Mexico))
Date Available	2018-01-28
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0363269
URI	http://hdl.handle.net/2429/64466
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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