The open Gromov-Witten-Welschinger theory of blowups of the projective plane

The open Gromov-Witten-Welschinger theory of blowups of the projective plane

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Jake Solomon, Hebrew University
Fine Hall 314

I'll explain how to compute the Welschinger invariants of blowups of the projective plane at an arbitrary conjugation invariant configuration of points. Specifically, open analogues of the WDVV equation and Kontsevich-Manin axioms lead to a recursive algorithm that reconstructs all the invariants from a small set of known invariants. This result is joint work with Asaf Horev.