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Jonathan Zung, : Taut foliations, left-orders, and pseudo-Anosov flows
Monday, March 29, 2021, 02:00pm - 03:00pm
The L-space conjecture is a proposed relationship between three seemingly disparate properties of an irreducible rational homology 3-sphere: the existence of a taut foliation, left-orderability of its fundamental group (i.e. the existence of a faithful map into Homeo^+(R)), and the non-triviality of its Heegaard Floer homology. I will explain a geometric link between the first two properties in a class of 3-manifolds with taut foliations arising from pseudo-Anosov flows. For these foliations, we will construct a natural action of the fundamental group on a space related to the space of leaves of the foliation.

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