USC Topology Seminar: Partially wrapped contact Fukaya categories of 1-jet spaces

Hanming Liu, University of Oregon Title: Partially wrapped contact Fukaya categories of 1-jet spaces Abstract: Everyone loves Fukaya categories, which are categories of Lagrangians in symplectic manifolds. Naturally, a contact topologist would want to study contact Fukaya categories, which in analogy, would be categories of Legendrians in contact manifolds. Contact Fukaya categories is a rather unexplored topic at the moment. In this talk, I will introduce one incarnation of contact Fukaya categories: given a 1-jet space and a closed subset (called the stop), we define the partially wrapped c…