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arXiv · 1210.4034

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

Asaf Horev·Jake P. Solomon
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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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Asaf Horev, Jake P. Solomon. 2012-10-15. The open Gromov-Witten-Welschinger theory of blowups of the projective plane. https://arxiv.org/abs/1210.4034

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