30 citations · 96 across the 20 of their papers we have counts for
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Tropical gluing formulae for Gromov-Witten invariants
Brett Parker
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-cr…
Three dimensional tropical correspondence formula
Brett Parker
A tropical curve in contributes to Gromov-Witten invariants in all genus. Nevertheless, we present a simple formula for how a given tropical curve contributes to Gr…
Notes on exploded manifolds and a tropical gluing formula for Gromov-WItten invariants
Brett Parker
Notes for a short lecture series, covering exploded manifolds, the moduli stack of curves in exploded manifolds, and a tropical gluing formula for Gromov-Witten invariants: a gluin…
Holomorphic curves in exploded manifolds: virtual fundamental class
Brett Parker
We define Gromov--Witten invariants of exploded manifolds. The technical heart of this paper is a construction of a virtual fundamental class of any Kuranishi catego…
Gluing formula for Gromov-Witten invariants in a triple product
Brett Parker
We present a gluing formula for Gromov-Witten invariants in the case of a triple product. This gluing formula is a simple case of a much more general gluing formula proved and stat…
Tropical enumeration of curves in blowups of the projective plane
Brett Parker
We describe a method for recursively calculating Gromov-Witten invariants of all blowups of the projective plane. This recursive formula is different from the recursive formulas du…