Gromov-Witten Generating Series of Elliptic Curves as Configuration Space Integrals
Algebraic Geometry
2023-10-16 v2 High Energy Physics - Theory
Mathematical Physics
math.MP
Abstract
The generating series of Gromov-Witten invariants of elliptic curves can be expressed in terms of multi-variable elliptic functions by works of Bloch-Okounkov and Okounkov-Pandharipande. In this work we give new sum-over-partitions formulas for these generating series and show that they are configuration space integrals of cohomology classes constructed from sections of Poincare bundles. We also discuss their quasi-elliptic and quasi-modular properties.
Keywords
Cite
@article{arxiv.2304.03912,
title = {Gromov-Witten Generating Series of Elliptic Curves as Configuration Space Integrals},
author = {Jie Zhou},
journal= {arXiv preprint arXiv:2304.03912},
year = {2023}
}
Comments
version 2: a few typos fixed