Title	Floer homology, group orders, and taut foliations of hyperbolic 3-manifolds
Creator	Dunfield, Nathan
Publisher	Banff International Research Station for Mathematical Innovation and Discovery
Date Issued	2016-03-22T11:11
Description	A bold conjecture of Boyer-Gorden-Watson and others posit that for any irreducible rational homology 3-sphere M the following three conditions are equivalent: (1) the fundamental group of M is left-orderable, (2) M has non-minimal Heegaard Floer homology, and (3) M admits a co-orientable taut foliation. Very recently, this conjecture was established for all graph manifolds by the combined work of Boyer-Clay and Hanselman-Rasmussen-Rasmussen-Watson. I will discuss a computational survey of these properties involving several hundred thousand hyperbolic 3-manifolds, including a new practical construction of taut foliations on 3-manifolds via something I call a "laminar triangulation".
Extent	50 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 Illinois (Urbana-Champaign)
Series	BIRS Workshop Lecture Videos (Banff, Alta)
Date Available	2016-09-21
Provider	Vancouver : University of British Columbia Library
Rights	Attribution-NonCommercial-NoDerivatives 4.0 International
DOI	10.14288/1.0314391
URI	http://hdl.handle.net/2429/59244
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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Floer homology, group orders, and taut foliations of hyperbolic 3-manifolds Dunfield, Nathan

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