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Seminar

From Six to Four

Speaker
Amanda Hirschi (Sorbonne University)
Date
Mon, Feb 5 2024, 4:00pm
Location
383N

I will discuss joint work with Luya Wang on the other direction of the Donaldson 4-6 problem. Specifically, we show that any two simply-connected symplectic 4-manifolds, whose products with S^2 are deformation equivalent, have the same Gromov-Witten invariants. The proof relies on a generalisation of the product formula of Hirschi-Swaminathan to include gravitational descendants, as well as using classical invariants to constrain the action of diffeomorphisms on cohomology.