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

Published 15 Oct 2012 in math.SG, hep-th, and math.AG | (1210.4034v1)

Abstract: We 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. Example computations are given, including the non-del Pezzo case.

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