20 citations · 49 across the 10 of their papers we have counts for
13 papers
Nef Hattori classes and products of projective lines
Daniel Álvarez, Andrew Clarke, Eduardo González
Let \(X\) be a smooth connected complex projective variety with an effective algebraic \(\mathbb C^{\times}\)-action, a nonempty finite fixed locus whose weights are \(\pm1\). We s…
Coulomb branch algebras via symplectic cohomology
Eduardo Gonzalez, Cheuk Yu Mak, Daniel Pomerleano
Let be a compact symplectic manifold with convex boundary and . Suppose that is equipped with a convex Hamiltonian -action for som…
Stable gauged maps
E. González, P. Solis, C. Woodward
We give an introduction to moduli stacks of gauged maps satisfying a stability conditition introduced by Mundet and Schmitt, and the associated integrals giving rise to gauged Grom…
Properness for scaled gauged maps
E. González, P. Solis, C. Woodward
We give an algebraic proof of properness of moduli stacks of gauged maps satisfying a stability conditition introduced by Mundet and Schmitt. The proof combines a git construction…
Seidel elements and potential functions of holomorphic disc counting
Eduardo Gonzalez, Hiroshi Iritani
Let M be a symplectic manifold equipped with a Hamiltonian circle action and let L be an invariant Lagrangian submanifold of M. We study the problem of counting holomorphic disc se…
A wall-crossing formula for Gromov-Witten invariants under variation of git quotient
Eduardo Gonzalez, Chris T. Woodward
We prove a quantum version of Kalkman's wall-crossing formula comparing Gromov-Witten invariants on geometric invariant theory (git) quotients related by a change in polarization.…
Quantum cohomology and toric minimal model programs
Eduardo Gonzalez, Chris Woodward
We give a quantum version of the Danilov-Jurkiewicz presentation of the cohomology of a compact toric orbifold with projective coarse moduli space. More precisely, we construct a c…
Seidel elements and mirror transformations
Eduardo Gonzalez, Hiroshi Iritani
The goal of this article is to give a precise relation between the mirror symmetry transformation of Givental and the Seidel elements for a smooth projective toric variety with…
Gauged Gromov-Witten theory for small spheres
Eduardo Gonzalez, Chris Woodward
For smooth projective G-varieties, we equate the gauged Gromov-Witten invariants for sufficiently small area and genus zero with the invariant part of equivariant Gromov-Witten inv…
Deformations of symplectic vortices
Eduardo Gonzalez, Chris Woodward
We prove a gluing theorem for a symplectic vortex on a compact complex curve and a collection of holomorphic sphere bubbles. Using the theorem we show that the moduli space of regu…
Quantum Witten localization and abelianization for qde solutions
Eduardo Gonzalez, Chris Woodward
We prove a quantum version of the localization formula of Witten that relates invariants of a git quotient with the equivariant invariants of the action. Using the formula we prove…
Classifying semi-free Hamiltonian -manifolds
Eduardo Gonzalez
In this paper we describe a method to establish when a symplectic manifold with semi-free Hamiltonian -action is unique up to isomorphism (equivariant symplectomorphism)…
Quantum cohomology and -actions with isolated fixed points
Eduardo Gonzalez
This paper studies symplectic manifolds that admit semi-free circle actions with isolated fixed points. We prove, using results on the Seidel element due to McDuff and Tolman, that…