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Gordana Matic: Spectral order invariant and obstruction to Stein fillability (RLGTS, 16 June 2020)

Lukas Lewark
Gordana Matic: Spectral order invariant and obstruction to Stein fillability (RLGTS, 16 June 2020)

Abstract:

In this joint work with Cagatay Kutluhan, Jeremy Van Horn-Morris and Andy Wand, we define an invariant of contact structures in dimension three arising from introducing a filtration on the boundary operator in Heegaard Floer homology. This invariant takes values in the set of positive integers union infinity. It is zero for overtwisted contact structures, ∞ for Stein fillable contact structures, non-decreasing under Legendrian surgery, and computable from any supporting open book decomposition. I will give the definition and discuss computability of the invariant. As an application, we give an easily computable obstruction to Stein fillability on closed contact 3-manifolds with non-vanishing Ozsváth-Szabó contact class.

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Erstellt am: 17.06.2020 12:42
Letzte Aktualisierung: 17.06.2020 12:49