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Counting embedded curves in symplectic 6-manifolds

Geometry/Topology seminar
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Monday, November 18, 2019
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3:15 pm - 4:15 pm
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Aleksander Doan (Columbia/Cambridge)
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Geometry/topology Seminar

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.