Remarks on gluing punctured logarithmic maps
Algebraic Geometry
2025-01-08 v2
Abstract
We consider some well-behaved cases of the gluing formalism for punctured stable log maps of Abramovich-Chen-Gross-Siebert. This gives a gluing formula for log Gromov-Witten invariants in a diverse set of cases; in particular, the gluing formulae of Li-Ruan, Jun Li and Kim-Lho-Ruddat become an easy special case. The last section gives an application of this gluing formalism to canonical wall structures for K3 surfaces as constructed by Gross and Siebert in "The canonical wall structure and intrinsic mirror symmetry."
Cite
@article{arxiv.2306.02661,
title = {Remarks on gluing punctured logarithmic maps},
author = {Mark Gross},
journal= {arXiv preprint arXiv:2306.02661},
year = {2025}
}
Comments
58 pages. The new version has typo fixes and slight generalizations of results in sections 6 and 8. Submitted version