L-spaces versus non-left-orderability for graph manifolds

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• Liam Watson, Glasgow
• Wednesday 18 February 2015, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Jake Rasmussen.

Abstract: There is a conjectural relationship between Heegaard Floer homology and the fundamental group positing that (irreducible) L-spaces are precisely those 3-manifolds with fundamental group that cannot be left-ordered. This is known to hold for Seifert fibred spaces, due in part to an interaction of both conditions with (non-existance of) taut-foliations. More generally, for graph manifolds, work of Boyer and Clay establishes an equivalence between taut foliations and left-orderability. L-spaces I will describe some work in progress with Jonathan Hanselman that uses bordered Floer homology to address the still open L-space part of this problem.

This talk is part of the Differential Geometry and Topology Seminar series.

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