On normal crossings symplectic divisors

Princeton/IAS Symplectic Geometry Seminar
Topic:On normal crossings symplectic divisors
Speaker:Aleksey Zinger
Affiliation:Stony Brook University
Date:Friday, December 12
Time/Room:1:30pm - 2:30pm/Fine 322, Princeton University

I will describe purely symplectic notions of normal crossings divisor and configuration. They are compatible with the existence of the desired auxiliary almost Kahler structures, provided ``existence" is suitably interpreted. These notions lead to a multifold version of Gompf's symplectic sum construction. They also imply that Brett Parker's work on exploded manifolds concerns a multifold version of the usual symplectic sum (or degeneration) formula for Gromov-Witten invariants. This talk will be about general symplectic topology, not GW-invariants. This is joint work with Mark McLean and Mohammad Tehrani.