77 citations · 394 across the 48 of their papers we have counts for
55 papers
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…
Quantum Kirwan for quantum K-theory
Eduardo González, Chris Woodward
For G a complex reductive group and X a smooth projective or convex quasi-projective polarized G-variety we construct a formal map in quantum K-theory from the equivariant quantum…
Partly-local domain-dependent almost complex structures
Guangbo Xu, Chris T. Woodward
We fill a gap pointed out by N. Sheridan in the proof of independence of genus zero Gromov-Witten invariants from the choice of divisor in the Cieliebak-Mohnke perturbation scheme.
Invariance of immersed Floer cohomology under Lagrangian surgery
Joseph Palmer, Chris Woodward
We show that Floer cohomology of an immersed Lagrangian brane is invariant under smoothing of a self-intersection point if the quantum valuation of the weakly bounding cochain vani…
An open quantum Kirwan map
Chris Woodward, Guangbo Xu
We construct a morphism from the equivariant Fukaya algebra of a Lagrangian brane in the zero level set of a moment map of a Hamiltonian action to the Fukaya algebra of the quotien…