- Series
- Geometry Topology Seminar
- Time
- Monday, November 18, 2024 - 3:00pm for 1 hour (actually 50 minutes)
- Location
- University Of Georgia
- Speaker
- Hyunki Min – UCLA
- Organizer
- Shunyu Wan
In this talk, we introduce contact invariants in bordered sutured Floer homology. Given a contact 3-manifold with convex boundary, we apply a result of Zarev to derive contact invariants in the bordered sutured modules BSA and BSD. We show that these invariants satisfy a pairing theorem, which is a bordered extension of the Honda-Kazez-Matic gluing map for sutured Floer homology. We also show that there is a correspondence between certain A-infinity operations in bordered modules and bypass attachment maps in sutured Floer homology. As an application, we characterize the Stipsicz-Vertesi map in terms of A-infinity action on CFA. If time permits, we will further discuss applications to contact surgery.