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Remarks on gluing punctured logarithmic maps

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arxiv 2306.02661 v2 pith:QJTHY6FL submitted 2023-06-05 math.AG

Mark Gross This is my paper · ORCID
classification math.AG
keywords gluingcanonicalcasesformalismgivesmapspuncturedwall
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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."

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Cited by 5 Pith papers

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