6 papers
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…
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…
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…
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…
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…
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…