137 citations · 479 across the 18 of their papers we have counts for
18 papers
Universally counting curves in Calabi--Yau threefolds
John Pardon
We show that curve enumeration invariants of complex threefolds with nef anti-canonical bundle are determined by their values on local curves. This implies the MNOP conjecture of M…
Orbifold bordism and duality for finite orbispectra
John Pardon
We construct the stable (representable) homotopy category of finite orbispectra, whose objects are formal desuspensions of finite orbi-CW-pairs by vector bundles and whose morphism…
Enough vector bundles on orbispaces
John Pardon
We show that every orbispace satisfying certain mild hypotheses has 'enough' vector bundles. It follows that the K-theory of finite rank vector bundles on such orbispaces is a coho…
Smoothing finite group actions on three-manifolds
John Pardon
We show that every continuous action of a finite group on a smooth three-manifold is a uniform limit of smooth actions.
Totally disconnected groups (not) acting on two-manifolds
John Pardon
We briefly survey the Hilbert--Smith Conjecture, and we include a proof of it in dimension two (where it is originally due to Montgomery--Zippin).
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…
The Hilbert--Smith conjecture for three-manifolds
John Pardon
We show that every locally compact group which acts faithfully on a connected three-manifold is a Lie group. By known reductions, it suffices to show that there is no faithful acti…
Central limit theorems for uniform model random polygons
John Pardon
We show how a central limit theorem for Poisson model random polygons implies a central limit theorem for uniform model random polygons. To prove this implication, it suffices to s…
The link concordance invariant from Lee homology
John Pardon
We use the knot homology of Khovanov and Lee to construct link concordance invariants generalizing the Rasmussen -invariant of knots. The relevant invariant for a link is a filt…
Algebraic varieties with semialgebraic universal cover
János Kollár, John Pardon
We study projective varieties whose universal cover is biholomorphic to a semialgebraic open subset of a projective variety.
On the distortion of knots on embedded surfaces
John Pardon
Our main result is a nontrivial lower bound for the distortion of some specific knots. In particular, we show that the distortion of the torus knot satisfies $δ(T_{p,q})>…
Central limit theorems for random polygons in an arbitrary convex set
John Pardon
We study the probability distribution of the area and the number of vertices of random polygons in a convex set . The novel aspect of our approach is that it…
On the unfolding of simple closed curves
John Pardon
I show that every rectifiable simple closed curve in the plane can be continuously deformed into a convex curve in a motion which preserves arc length and does not decrease the Euc…