Presented by:
Nathan Dunfield
Date:
Monday 30th January 2017 - 14:00 to 15:00
Venue:
INI Seminar Room 1
Event:
Abstract:
A bold conjecture of Boyer-Gorden-Watson and others posit
that for any irreducible rational homology 3-sphere M the following three
conditions are equivalent: (1) the fundamental group of M is left-orderable,
(2) M has non-minimal Heegaard Floer homology, and (3) M admits a co-orientable
taut foliation. Very recently, this conjecture was established for all graph
manifolds by the combined work of Boyer-Clay and
Hanselman-Rasmussen-Rasmussen-Watson. I will discuss a computational survey of
these properties involving half a million hyperbolic 3-manifolds, including new
or at least improved techniques for computing each of these properties.
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