This week, Wednesday at 12:00, U. Haifa Topology & Geometry seminar on December 11, 2019
Geometry & Topology Seminar
Speaker: Federico Salmoiraghi (Technion)
Topic: Equivalence of contact gluing maps in sutured Floer homology.
Place: Room 614 in the Science & Education Building
Date: Wednesday, December 11, 2019
The contact invariant from Heegaard Floer homology is a useful tool for studying contact structures. This invariant is preserved under cut-and-paste operations by contact gluing maps of Honda, Kazez, and Matić. However, these maps are difficult to compute in practice, even in simple cases. Our work reinterprets these maps in terms of gluing maps in bordered sutured Floer theory defined by Zarev. In particular, we establish Zarev’s conjecture that his pairing on sutured Floer homology is equivalent to the contact gluing map. As an application, we directly compute Honda–Kazez–Matić maps in some interesting cases. This project is joint with Ryan Leigon.