The degeneration formula for stable log maps

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.

42 pages, 1 figure, final version, to appear in Manuscripta Math

References in corpus (2)

• Gromov Witten invariants of exploded manifolds
• Decomposition of degenerate Gromov-Witten invariants

Cited by in corpus (6)

• Decomposition of degenerate Gromov-Witten invariants
• Punctured logarithmic maps
• Sheaves of maximal intersection and multiplicities of stable log maps
• Log BPS numbers of log Calabi-Yau surfaces
• Splitting of Gromov-Witten Invariants with Toric Gluing Strata
• Limits of stable maps in a semi-stable degeneration