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.
The degeneration formula for stable log maps
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abstract
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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Sheaves of maximal intersection and multiplicities of stable log maps
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.