Remarks on gluing punctured logarithmic maps

Fuente: arXiv
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Autore principale: Gross, Mark
Natura: Preprint
Pubblicazione: 2023
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author Gross, Mark
author_facet Gross, Mark
contents 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."
format Preprint
id arxiv_https___arxiv_org_abs_2306_02661
institution arXiv
publishDate 2023
record_format arxiv
spellingShingle Remarks on gluing punctured logarithmic maps
Gross, Mark
Algebraic Geometry
14N335, 14J32
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."
title Remarks on gluing punctured logarithmic maps
topic Algebraic Geometry
14N335, 14J32
url https://arxiv.org/abs/2306.02661