A Remark on Gromov-Witten Invariants of Quintic Threefold

Abstract

The purpose of the article is to give a proof of a conjecture of Maulik and Pandharipande for genus 2 and 3. As a result, it gives a way to determine Gromov-Witten invariants of the quintic threefold for genus 2 and 3.

arXiv commentWe improve our results and add an example which computes genus 2, degree 1 invariant. This is the final version which is accepted by Advances in Mathematics. The final authenticated version is available online via the DOI below

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Cited by in corpus (4)

• Holomorphic anomaly equation for $({\mathbb{P}}^2,E)$ and the Nekrasov-Shatashvili limit of local ${\mathbb{P}}^2$
• BCOV's Feynman rule of quintic $3$-folds
• Towards a quantum Lefschetz hyperplane theorem in all genera
• Chamber structure for some equivariant relative Gromov-Witten invariants of ${\mathbb{P}}^1$ in genus $0$