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20242026
most citedUniversal tropical structures for curves in exploded manifolds

4 citations · 4 across the 1 of their papers we have counts for

collaborators

6 papers

math.SG20264 cited

Universal tropical structures for curves in exploded manifolds

Brett Parker

For any stable curve in an exploded manifold, this paper constructs a family of curves with universal tropical structure which contains . Such a family has the prop…

math.AG2025

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 threefol…

math.SG2025

Holomorphic curves in exploded manifolds: Kuranishi structure

Brett Parker

This paper constructs a Kuranishi structure for the moduli stack of holomorphic curves in exploded manifolds. To avoid some technicalities of abstract Kuranishi structures, we embe…

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…

math.SG2025

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…

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…