activity
20072025
most citedGromov Witten invariants of exploded manifolds

30 citations · 96 across the 20 of their papers we have counts for

collaborators

21 papers

math.AG2025

Gromov-Witten invariants of log Calabi-Yau 3-folds are holomorphic lagrangian correspondences

Brett Parker

We introduce a holomorphic version of Weinstein's symplectic category, in which objects are holomorphic symplectic manifolds, and morphisms are holomorphic lagrangian correspondenc…

quant-ph2024

Natural Probability

Brett Parker

How should we model an observer within quantum mechanics or quantum field theory? How can classical physics emerge from a quantum model, and why should classical probability be use…

math.AG2022

The tropological vertex

Norman Do, Brett Parker

The theory of the topological vertex was originally proposed by Aganagic, Klemm, Mariño and Vafa as a means to calculate open Gromov-Witten invariants of toric Calabi-Yau threefold…

math.SG2017★ 9 cited

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…

math.SG2016★ 6 cited

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…

math.SG2016★ 2 cited

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…