Geometry and Topology Seminar

Shintaro Fushida-Hardy, University of Waterloo

Constructing Lagrangians in S2xS2

We investigate the existence of non-orientable Lagrangian surfaces in symplectic S^2xS^2s. On one hand, it is known that a Klein bottle embedded in S^2xS^2 cannot be Lagrangian in almost half of the possible symplectic structures on S^2xS^2. On the other hand, we use trisection-inspired methods to describe a general construction of Lagrangian surfaces, and ask "what is the minimal genus such that a non-orientable Lagrangian surface of said genus exists in every symplectic S^2xS^2?". This is joint work with Laura Wakelin.

MC 5417