English

Reconstruction theorems for genus 2 Gromov-Witten invariants

Algebraic Geometry 2022-10-11 v1

Abstract

We use Pixton's relations to prove a reconstruction theorem for genus 2 Gromov-Witten invariants in the style of Kontsevich-Manin (genus 0) and Getzler (genus 1). We also calculate genus 2 (descendant) Gromov-Witten invariants of P2\mathbb{P}^2 blown up at a finite number of points in general position.

Keywords

Cite

@article{arxiv.2210.04038,
  title  = {Reconstruction theorems for genus 2 Gromov-Witten invariants},
  author = {Thomas Wennink},
  journal= {arXiv preprint arXiv:2210.04038},
  year   = {2022}
}

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28 pages