Non UBC
DSpace
Liam Watson
2019-12-17T11:25:01Z
2019-06-19T09:31
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.
https://circle.library.ubc.ca/rest/handle/2429/72801?expand=metadata
62.0 minutes
video/mp4
Author affiliation: University of British Columbia
Oaxaca (Mexico : State)
10.14288/1.0387162
eng
Unreviewed
Vancouver : University of British Columbia Library
Banff International Research Station for Mathematical Innovation and Discovery
Attribution-NonCommercial-NoDerivatives 4.0 International
http://creativecommons.org/licenses/by-nc-nd/4.0/
Researcher
BIRS Workshop Lecture Videos (Oaxaca (Mexico : State))
Mathematics
Algebraic Topology, Dynamical Systems And Ergodic Theory
Khovanov homology and the L-space conjecture
Moving Image
http://hdl.handle.net/2429/72801