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The degeneration formula for stable log maps

Bumsig Kim, Hyenho Lho, Helge Ruddat

2021manuscripta mathematica12 citationsDOIOpen Access PDF

Abstract

Abstract We give a direct proof for the degeneration formula of Gromov–Witten invariants including its cycle version for degenerations with smooth singular locus in the setting of stable log maps of Abramovich-Chen, Chen, Gross–Siebert.

Topics & Concepts

MathematicsAlgebraic geometryNumber theoryLocus (genetics)ChenDegeneration (medical)Pure mathematicsCombinatoricsAlgebra over a fieldBiologyMedicineBiochemistryPathologyPaleontologyGeneChemistryAlgebraic Geometry and Number TheoryHomotopy and Cohomology in Algebraic TopologyGeometric and Algebraic Topology
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