Spectral order of contact 3-manifolds

Jeremy Van Horn-Morris (University of Arkansas)

Monday 9th December, 2019 16:00-17:00 Maths 311B


Utilizing work of Hutchings, Lipshitz and Kutluhan-Lee-Taubes, one can incorporate the genus of holomorphic curves into the Ozsvath-Szabo Heegaard Floer complex. We will describe how, using the Honda-Kazez-Matic description of the Heegaard Floer complex associated to an open book decomposition, this can be used to define a version of the Ozsvath-Szabo contact invariant that is more sensitive both to tightness and to Stein cobordisms. This is joint work with Cagatay Kutluhan, Gordana Matic, and Andy Wand.

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