8 citations · 16 across the 10 of their papers we have counts for
10 papers · 1 filter
Tropical disk potential for almost toric manifolds
S. Venugopalan, C. T. Woodward
Using our previous work we give a tropical formula for disk potentials for Lagrangian tori in almost toric four-manifolds, that is, fibrations by Lagrangian tori with only toric an…
Removal of singularities in Morse-Bott symplectizations
Manav Gaddam, Sushmita Venugopalan
Hofer-Wysocki-Zehnder and Bourgeois proved that a finite energy punctured pseudoholomorphic curve in the symplectization of a Morse-Bott contact manifold either has a removable sin…
Splitting the diagonal for broken maps
Sushmita Venugopalan, Chris Woodward
In previous work, we introduced a version of the Fukaya algebra associated to a degeneration of a symplectic manifold, whose structure maps count collections of maps in the compone…
Fukaya categories of blowups
Sushmita Venugopalan, Chris T. Woodward, Guangbo Xu
We compute the Fukaya category of the symplectic blowup of a compact rational symplectic manifold at a point in the following sense: Suppose a collection of Lagrangian branes satis…
Tropical Fukaya Algebras
Sushmita Venugopalan, Chris Woodward
We introduce a tropical version of the Fukaya algebra of a Lagrangian submanifold. Tropical graphs arise as large-scale behavior of pseudoholomorphic disks under a multiple cut ope…
Novikov's theorem in higher dimensions?
Sushmita Venugopalan
Novikov's theorem is a rigidity result on the class of taut foliations on three-manifolds. For higher dimensional manifolds, foliations with a strong symplectic form have been sugg…
Symplectic foliated fillings of sphere cotangent bundles
Francisco Presas, Sushmita Venugopalan
We classify symplectically foliated fillings of certain foliated manifolds with a contact structure on the leaves. We show that for the foliated sphere cotangent bundle of the Reeb…
Local model for the moduli space of affine vortices
Sushmita Venugopalan, Guangbo Xu
We show that the moduli space of regular affine vortices, which are solutions of the symplectic vortex equation over the complex plane, has the structure of a smooth manifold. The…
Vortices on surfaces with cylindrical ends
Sushmita Venugopalan
We consider Riemann surfaces obtained from nodal curves with infinite cylinders in the place of nodal and marked points, and study the space of finite energy vortices defined on th…
Classification of affine vortices
Sushmita Venugopalan, Christopher T. Woodward
We prove a Hitchin-Kobayashi correspondence for affine vortices generalizing a result of Jaffe-Taubes for the action of the circle on the affine line. Namely, suppose a compact Lie…