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.Comment: We 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 belo