Colloquium: A conjecture relating Heegaard Floer homology and the fundamental group

by Liam Watson (UCLA)

2013.03.11 | Jane Jamshidi

Date Wed 13 Mar
Time 14:15 15:15
Location 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. 

IT, computer science and mathematics , Public/media, Staff