Cheol Hyun Cho, Seoul Natl Univ: On the unit normal correspondence for a monotone divisor complement

Cheol Hyun Cho, Seoul National University: On the unit normal correspondence for a monotone divisor complement
We study the relation between the Fukaya category of a monotone divisor and its complement. More precisely, there is a new Fukaya category of the complement (defined using the popsicle maps with the insertions of the Reeb orbits Γ around the divisor) , which is then deformed using a parameter σ. There is a Lagrangian correspondence from the new Fukaya category complement to the monotone Fukaya category of the divisor, which is shown to be an isomorphism in some examples. This is a joint work in progress with H. Bae, D. Choa and W. Jeong.