Filtering the Heegaard Floer contact invariant

Gordana Matic (Georgia)

Monday 22nd January, 2018 16:00-17:00 Maths 311B


The `contact invariant' in Heegaard floer homology has been one of the most widely-used tools in the field of contact topology since its introduction 2 decades ago by Ozsvath and Szabo. In the talk, we will discuss an interpretation of this invariant in the framework of open book decompositions of 3-manifolds, and a new refinement of the invariant which measures in some sense non-(Stein/symplectic)-fillability of a contact structure. This is joint work with C. Kutluhan, J. Van Horn-Morris, and A. Wand.

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