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Dive into the research topics where Brett Parker is active.

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Featured researches published by Brett Parker.


Communications in Mathematical Physics | 2017

Three Dimensional Tropical Correspondence Formula

Brett Parker

A tropical curve in


arXiv: Symplectic Geometry | 2011

Gromov Witten invariants of exploded manifolds

Brett Parker


Advances in Mathematics | 2015

Holomorphic curves in exploded manifolds: Compactness

Brett Parker

{\mathbb R^{3}}


Geometry & Topology | 2017

DE RHAM THEORY OF EXPLODED MANIFOLDS

Brett Parker


Abhandlungen Aus Dem Mathematischen Seminar Der Universitat Hamburg | 2012

Log geometry and exploded manifolds

Brett Parker

R3 contributes to Gromov–Witten invariants in all genus. Nevertheless, we present a simple formula for how a given tropical curve contributes to Gromov–Witten invariants when we encode these invariants in a generating function with exponents of


arXiv: Symplectic Geometry | 2009

Holomorphic curves in exploded manifolds: regularity

Brett Parker


arXiv: Symplectic Geometry | 2013

Holomorphic curves in exploded manifolds: Kuranishi structure

Brett Parker

{\lambda}


arXiv: Symplectic Geometry | 2013

Universal tropical structures for curves in exploded manifolds

Brett Parker


arXiv: Symplectic Geometry | 2015

Gluing formula for Gromov-Witten invariants in a triple product

Brett Parker

λ recording Euler characteristic. Our main modification from the known tropical correspondence formula for rational curves is as follows: a trivalent vertex, which before contributed a factor of n to the count of zero-genus holomorphic curves, contributes a factor of


arXiv: Symplectic Geometry | 2014

On the value of thinking tropically to understand Ionel's GW invariants relative normal crossing divisors

Brett Parker

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