Gromov Witten invariants of exploded manifolds

Abstract

This paper describes the structure of the moduli space of holomorphic curves and constructs Gromov Witten invariants in the category of exploded manifolds. This includes defining Gromov Witten invariants relative to normal crossing divisors and proving the associated gluing theorem which involves summing relative invariants over a count of tropical curves.

102 pages

References in corpus (2)

• Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds
• Integration Theory for Zero Sets of Polyfold Fredholm Sections

Cited by in corpus (10)

• Punctured logarithmic maps
• The degeneration formula for stable log maps
• GW Invariants Relative Normal Crossings Divisors
• The Smoothability of Normal Crossings Symplectic Varieties
• Comparison theorems for Gromov-Witten invariants of smooth pairs and of degenerations
• Gluing formula for Gromov-Witten invariants in a triple product
• On the value of thinking tropically to understand Ionel's GW invariants relative normal crossing divisors
• Notes on exploded manifolds and a tropical gluing formula for Gromov-WItten invariants
• Limits of stable maps in a semi-stable degeneration
• Log geometry and exploded manifolds