137 citations · 479 across the 18 of their papers we have counts for
6 papers · 1 filter
Microlocal Morse theory of wrapped Fukaya categories
Sheel Ganatra, John Pardon, Vivek Shende
The Nadler--Zaslow correspondence famously identifies the finite-dimensional Floer homology groups between Lagrangians in cotangent bundles with the finite-dimensional Hom spaces b…
Sectorial descent for wrapped Fukaya categories
Sheel Ganatra, John Pardon, Vivek Shende
We develop a set of tools for doing computations in and of (partially) wrapped Fukaya categories. In particular, we prove (1) a descent (cosheaf) property for the wrapped Fukaya ca…
Covariantly functorial wrapped Floer theory on Liouville sectors
Sheel Ganatra, John Pardon, Vivek Shende
We introduce a class of Liouville manifolds with boundary which we call Liouville sectors. We define the wrapped Fukaya category, symplectic cohomology, and the open-closed map for…
Contact homology and virtual fundamental cycles
John Pardon
We give a construction of contact homology in the sense of Eliashberg--Givental--Hofer. Specifically, we construct coherent virtual fundamental cycles on the relevant compactified…
Existence of Lefschetz fibrations on Stein and Weinstein domains
Emmanuel Giroux, John Pardon
We show that every Stein or Weinstein domain may be presented (up to deformation) as a Lefschetz fibration over the disk. The proof is an application of Donaldson's quantitative tr…
An algebraic approach to virtual fundamental cycles on moduli spaces of pseudo-holomorphic curves
John Pardon
We develop techniques for defining and working with virtual fundamental cycles on moduli spaces of pseudo-holomorphic curves which are not necessarily cut out transversally. Such t…