95 citations · 129 across the 12 of their papers we have counts for
12 papers
Torus knot filtered embedded contact homology of the tight contact 3-sphere
Jo Nelson, Morgan Weiler
Knot filtered embedded contact homology was first introduced by Hutchings in 2015; it has been computed for the standard transverse unknot in irrational ellipsoids by Hutchings and…
A contact McKay correspondence for links of simple singularities
Leo Digiosia, Jo Nelson
We compute the cylindrical contact homology of the links of the simple singularities. These manifolds are contactomorphic to for finite subgroups . We pertu…
Embedded contact homology of prequantization bundles
Jo Nelson, Morgan Weiler
The 2011 PhD thesis of Farris demonstrated that the ECH of a prequantization bundle over a Riemann surface is isomorphic as a Z/2Z-graded group to the exterior algebra of the homol…
S^1-equivariant contact homology for hypertight contact forms
Michael Hutchings, Jo Nelson
In a previous paper, we showed that the original definition of cylindrical contact homology, with rational coefficients, is valid on a closed three-manifold with a dynamically conv…
Axiomatic S^1 Morse-Bott theory
Michael Hutchings, Jo Nelson
In various situations in Floer theory, one extracts homological invariants from "Morse-Bott" data in which the "critical set" is a union of manifolds, and the moduli spaces of "flo…
Automatic transversality in contact homology II: filtrations and computations
Jo Nelson
This paper is the sequel to the previous paper [Ne15], which showed that sufficient regularity exists to define cylindrical contact homology in dimension three for nondegenerate dy…
From Dynamics to Contact and Symplectic Topology and Back
Jo Nelson
This is a light survey article about the origins of contact and symplectic topology in dynamics and the more recent developments in the field. In lieu of formulas, numerous anecdot…
Symplectic embeddings of four-dimensional polydisks into balls
Katherine Christianson, Jo Nelson
In this paper we obtain new obstructions to symplectic embeddings of the four-dimensional polydisk into the ball for $2\leq a<\frac{\sqrt{7}-1} {\sqrt{7}-2} \approx…
Reeb Dynamics of the Link of the Singularity
Leonardo Enrique Abbrescia, Irit Huq-Kuruvilla, Jo Nelson +1
The link of the singularity, admits a natural contact structure coming from the set of complex tangencies. The canonical contact form $α_…
Automatic transversality in contact homology I: Regularity
Jo Nelson
This paper helps to clarify the status of cylindrical contact homology, a conjectured contact invariant introduced by Eliashberg, Givental, and Hofer in 2000. We explain how heuris…
Cylindrical contact homology for dynamically convex contact forms in three dimensions
Michael Hutchings, Jo Nelson
We show that for dynamically convex contact forms in three dimensions, the cylindrical contact homology differential d can be defined by directly counting holomorphic cylinders for…
The interaction of a giant planet with a disc with MHD turbulence I: The initial turbulent disc models
John C. B. Papaloizou, Richard P. Nelson
This is the first of a series of papers aimed at developing and interpreting simulations of protoplanets interacting with turbulent accretion discs. Here we study the disc models p…