Theta functions, broken lines and 2-marked log Gromov-Witten invariants
Algebraic Geometry
2022-04-27 v1
Abstract
Theta functions were defined for varieties with effective anticanonical divisor and are related to certain punctured Gromov-Witten invariants. In this paper we show that in the case of a log Calabi-Yau surface (X,D) with smooth very ample anticanonical divisor we can circumvent the notion of punctured Gromov-Witten invariants and relate theta functions and their multiplicative structure to certain 2-marked log Gromov-Witten invariants. This is a natural extension of the correspondence between wall functions and 1-marked log Gromov-Witten invariants.
Keywords
Cite
@article{arxiv.2204.12257,
title = {Theta functions, broken lines and 2-marked log Gromov-Witten invariants},
author = {Tim Graefnitz},
journal= {arXiv preprint arXiv:2204.12257},
year = {2022}
}
Comments
27 pages