Tropical gluing formulae for Gromov-Witten invariants
arXiv:1703.05433
Abstract
We prove two tropical gluing formulae for Gromov-Witten invariants of exploded manifolds, useful for calculating Gromov-Witten invariants of a symplectic manifold using a normal-crossing degeneration. The first formula generalizes the symplectic-sum formula for Gromov-Witten invariants. The second formula is stronger, and also generalizes Kontsevich and Manin's splitting and genus-reduction axioms. Both tropical gluing formulae have versions incorporating gravitational descendants.
arXiv comment41 pages
References in corpus (5)
- Smooth Kuranishi atlases with isotropy
- Holomorphic curves in exploded manifolds: Kuranishi structure
- The Smoothability of Normal Crossings Symplectic Varieties
- Gluing formula for Gromov-Witten invariants in a triple product
- Notes on exploded manifolds and a tropical gluing formula for Gromov-WItten invariants
Cited by in corpus (6)
- Decomposition of degenerate Gromov-Witten invariants
- Punctured logarithmic maps
- Pseudoholomorphic Curves Relative to a Normal Crossings Symplectic Divisor: Compactification
- Splitting of Gromov-Witten Invariants with Toric Gluing Strata
- Notes on exploded manifolds and a tropical gluing formula for Gromov-WItten invariants
- Limits of stable maps in a semi-stable degeneration