TROPICAL ENUMERATION OF CURVES IN BLOWUPS OF CP2

Brett Parker

doi:10.4310/jdg/1736262182

TROPICAL ENUMERATION OF CURVES IN BLOWUPS OF CP²

Brett Parker^*

^*Corresponding author for this work

Mathematical Sciences Institute

Research output: Contribution to journal › Article › peer-review

Abstract

We describe a method for recursively calculating Gromov–Witten invariants of all blowups of the projective plane. This recursive formula is different from the recursive formulas due to Göttsche and Pandharipande in the zero genus case, and Caporaso and Harris in the case of no blowups. We use tropical curves and a recursive computation of Gromov–Witten invariants relative a normal crossing divisor.

Original language	English
Pages (from-to)	165-223
Number of pages	59
Journal	Journal of Differential Geometry
Volume	129
Issue number	1
DOIs	https://doi.org/10.4310/jdg/1736262182
Publication status	Published - Jan 2025

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abstract = "We describe a method for recursively calculating Gromov–Witten invariants of all blowups of the projective plane. This recursive formula is different from the recursive formulas due to G{\"o}ttsche and Pandharipande in the zero genus case, and Caporaso and Harris in the case of no blowups. We use tropical curves and a recursive computation of Gromov–Witten invariants relative a normal crossing divisor.",

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TROPICAL ENUMERATION OF CURVES IN BLOWUPS OF CP²

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