8 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…