11 citations · 74 across the 21 of their papers we have counts for
21 papers
On the strong Arnold chord conjecture for convex contact forms
Jungsoo Kang
The original Arnold chord conjecture states that every closed Legendrian submanifold of the standard contact sphere admits a Reeb chord with distinct endpoints with resp…
Rabinowitz Floer homology of negative line bundles and Floer Gysin sequence
Peter Albers, Jungsoo Kang
This article is concerned with the Rabinowitz Floer homology of negative line bundles. We construct a refined version of Rabinowitz Floer homology and study its properties. In part…
Relative Hofer-Zehnder capacity and positive symplectic homology
Gabriele Benedetti, Jungsoo Kang
We study the relationship between a homological capacity for Liouville domains defined using positive symplectic homology and the existence of periodic o…
Symplectic homology of convex domains and Clarke's duality
Alberto Abbondandolo, Jungsoo Kang
We prove that the Floer complex that is associated with a convex Hamiltonian function on is isomorphic to the Morse complex of Clarke's dual action functional tha…
Two closed orbits for non-degenerate Reeb flows
Miguel Abreu, Jean Gutt, Jungsoo Kang +1
We prove that every non-degenerate Reeb flow on a closed contact manifold admitting a strong symplectic filling with vanishing first Chern class carries at least two geomet…
On a systolic inequality for closed magnetic geodesics on surfaces
Gabriele Benedetti, Jungsoo Kang
We apply a local systolic-diastolic inequality for contact forms and odd-symplectic forms on three-manifolds to bound the magnetic length of closed curves with prescribed geodesic…
On a local systolic inequality for odd-symplectic forms
Gabriele Benedetti, Jungsoo Kang
The aim of this paper is to formulate a local systolic inequality for odd-symplectic forms (also known as Hamiltonian structures) and to establish it in some basic cases. Let b…
A local contact systolic inequality in dimension three
Gabriele Benedetti, Jungsoo Kang
Let be a contact form on a connected closed three-manifold . The systolic ratio of is defined as , where $T…
A local systolic-diastolic inequality in contact and symplectic geometry
Gabriele Benedetti, Jungsoo Kang
Let be a connected closed three-manifold, and let be the order of the torsion subgroup of . For a contact form on , we denote by $\mathrm{Volume}…
Vanishing of Rabinowitz Floer homology on negative line bundles
Peter Albers, Jungsoo Kang
Following [Fra08, AF14] we construct Rabinowitz Floer homology for negative line bundles over symplectic manifolds and prove a vanishing result. In [Rit14] Ritter showed that sympl…
On the minimal number of periodic orbits on some hypersurfaces in
Jean Gutt, Jungsoo Kang
We study periodic orbits on a nondegenerate dynamically convex starshaped hypersurface in along the lines of Long and Zhu, but using properties of the -equiv…
Real holomorphic curves and invariant global surfaces of section
Urs Frauenfelder, Jungsoo Kang
In this paper we prove that a dynamically convex starshaped hypersurface in which is invariant under complex conjugation admits a global surface of section which is…
On reversible maps and symmetric periodic points
Jungsoo Kang
In reversible dynamical systems, it is frequently of importance to understand symmetric features. The aim of this paper is to explore symmetric periodic points of reversible maps o…
Equivariant symplectic homology and multiple closed Reeb orbits
Jungsoo Kang
We study the existence of multiple closed Reeb orbits on some contact manifolds by means of -equivariant symplectic homology and the index iteration formula. It is proved that…
Symplectic homology of displaceable Liouville domains and Leafwise intersection points
Jungsoo Kang
In this note we prove that the symplectic homology of a Liouville domain W displaceable in the symplectic completion vanishes. Nevertheless if the Euler characteristic of (W,\p W)…
Some remarks on symmetric periodic orbits in the restricted three-body problem
Jungsoo Kang
The planar circular restricted three body problem (PCRTBP) is symmetric with respect to the line of masses and there is a corresponding anti-symplectic involution on the cotangent…
Local invariant for scale structures on mapping spaces
Jungsoo Kang
Scale structures were introduced by H. Hofer, K. Wysocki, and E. Zehnder as a new concept of a smooth structure in infinite dimensions. We prove that scale structures on mapping sp…
Invariance property of Morse homology on noncompact manifolds
Jungsoo Kang
In this article, we focus on the invariance property of Morse homology on noncompact manifolds. We expect to apply outcomes of this article to several types of Floer homology, thus…
Survival of infinitely many critical points for the Rabinowitz action functional
Jungsoo Kang
In this paper, we show that if the Rabinowitz Floer homology has infinite dimension, there exist infinitely many critical points of a Rabinowitz action functional even though it co…
Künneth Formula in Rabinowitz Floer homology
Jungsoo Kang
Rabinowitz Floer homology has been investigated on a submanifold of contact type. The contact condition, however, is quite restrictive. For example, a product of contact hypersurfa…
Generalized Rabinowitz Floer homology and coisotropic intersections
Jungsoo Kang
In this paper, we extend Rabinowitz Floer homology theory which has been established and extensively studied for hypersurfaces to coisotropic submanifolds of higher codimension. Wi…