4 citations · 4 across the 4 of their papers we have counts for
9 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…