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A conjecture relating Heegaard Floer homology and the fundamental group

Liam Watson
(University of California, Los Angeles (UCLA))
Colloquium
Wednesday, 13 March, 2013, at 14:15-15:15, in Aud. D3 (1531-215)
Abstract:
L-spaces are 3-manifolds with simplest possible Heegaard Floer homology. These arise naturally in many applications of Heegaard Floer theory and as a result it has been asked if there is topological characterization of this class of 3-manifolds (that is, one that does not make reference to Heegaard Floer homology). A recent conjecture proposes the following: An irreducible 3-manifold is an L-space if and only if its fundamental group is not left-orderable. This talk aims to provide some context for this conjecture and describe some of the evidence supporting it.
Organised by: QGM
Contact person: Jørgen Ellegaard Andersen