activity
20002020
most citedGlobal surfaces of section in the planar restricted 3-body problem

43 citations · 191 across the 19 of their papers we have counts for

collaborators

22 papers

math.SG2020★ 2 cited

Almost Existence From the Feral Perspective and Some Questions

Joel W. Fish, Helmut Hofer

This paper is concerned with the "almost existence" phenomenon for periodic orbits of Hamiltonian dynamical systems. In particular, we recover this result in both some standard and…

math.SG2018★ 2 cited

Feral Curves and Minimal Sets

Joel W. Fish, Helmut Hofer

Here we prove that for each Hamiltonian function defined on the standard symplectic , for which $M:=H^{-1}(…

math.SG2018

Exhaustive Gromov compactness for pseudoholomorphic curves

Joel W. Fish, Helmut Hofer

Here we extend the notion of target-local Gromov convergence of pseudoholomorphic curves to the case in which the target manifold is not compact, but rather is exhausted by compact…

math.SG2018★ 6 cited

Lectures on Polyfolds and Symplectic Field Theory

Joel W. Fish, Helmut Hofer

This is a lecture note prepared for the SFT 9 workshop in Augsburg, Germany. The text describes a polyfold approach to the construction of symplectic field theory and focuses on th…

math.SG2018★ 3 cited

Polyfold and SFT Notes II: Local-Local M-Polyfold Constructions

Joel W. Fish, Helmut Hofer

Some early chapters of the upcoming book "Polyfold Constructions: Tools, Techniques, and Functors"

math.SG2018★ 3 cited

Polyfold and SFT Notes I: A Primer on Polyfolds and Construction Tools

Joel W. Fish, Helmut Hofer

Notes for the upcoming Workshop on Symplectic Field Theory IX, Polyfolds for SFT. These notes are essentially the first few chapters of a forthcoming book entitled "Polyfold Constr…