Counting embedded curves in symplectic 6-manifolds

Counting embedded curves in symplectic 6-manifolds

Geometry/topology Seminar

Aleksander Doan (Columbia/Cambridge)

Monday, November 18, 2019 -
3:15pm to 4:15pm
Location: 
119 Physics

The number of embedded pseudo-holomorphic curves in a symplectic manifold typically depends on the choice of an almost complex structure on the manifold and so does not lead to a symplectic invariant. However, I will discuss two instances in which such naive counting does define a symplectic invariant, which turns out to be related to the Gopakumar-Vafa conjecture inspired by string theory. The talk is based on joint work with Thomas Walpuski.

Last updated: 2019/12/14 - 6:44am