by Liam Watson (UCLA)
2013.03.11 |
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.