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The degeneration formula for stable log maps

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arxiv 1803.04210 v2 pith:HQ5OXUL5 submitted 2018-03-12 math.AG math.SG

Bumsig Kim , Hyenho Lho , Helge Ruddat This is my paper · ORCID
classification math.AGmath.SG
keywords degenerationformulamapsstableabramovich-chenbasicchencycle
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We give a short direct proof for the degeneration formula of Gromov-Witten invariants including its cycle version for degenerations with smooth singular locus in the setting of minimal/basic stable log maps of Abramovich-Chen, Chen, Gross-Siebert.

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  1. Sheaves of maximal intersection and multiplicities of stable log maps

    math.AG 2019-08 accept novelty 8.0 of 10

    The paper proves explicit multiplicity formulas for non-rigid A1-curves and for unions of two rigid A1-curves in maximal-tangency genus 0 log Gromov-Witten invariants on surfaces.

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