Pure Maths Colloquium: Heegaard Floer homology and the fundamental group
27 April 2015 16:00 in CM221
There is a conjectural relationship between Heegaard Floer homology and the fundamental group, which posits that three-manifolds with simplest-possible Heegaard Floer invariants are precisely those whose fundamental group is not left-ordrerable. Since there is, at present, no known relationship between Heegaard Floer homology and the fundamental group, this potential connection is somewhat surprising. I will give some background and context for this conjecture, describe what is known about the problem, and discuss some recent progress. The talk will assume very little and, in particular, treat Heegaard Floer homology as a black box.
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