Jungsoo Kang
K\"unneth Formula in Rabinowitz Floer homology.
Mon, 06/07/2010 - 15:01 — SomNambulAuthors: Jungsoo Kang
Subjects: Symplectic Geometry
AbstractRabinowitz Floer homology has been investigated on a submanifold of contact
type. The contact condition, however, is quite restrictive. For example, a
product of contact hypersurfaces is rarely of contact type. In this article, we
study Rabinowitz Floer homology for a class of non-contact submanifolds. We
show for this example that there are infinitely many leafwise intersection
points by proving a K\"unneth formula for Rabinowitz Floer homology.Generalized Rabinowitz Floer homology and coisotropic intersections.
Fri, 03/05/2010 - 16:01 — SomNambulAuthors: Jungsoo Kang
Subjects: Symplectic Geometry
AbstractIn this paper we generalize the Rabinowitz Floer theory which has been
established in the hypersurfaces case. We apply it to the coisotropic
intersection problem which interpolates between the Lagrangian intersection
problem and the closed orbit problem. More specifically, we study leafwise
intersections on a contact submanifold and the displacement energy of a stable
submanifold. Moreover we prove that the Rabinowitz action functional is
generically Morse, so that Rabinowitz Floer homology is well-defined.Existence of leafwise intersection points in the unrestricted case.
Wed, 10/14/2009 - 11:03 — SomNambulAuthors: Jungsoo Kang
Subjects: Symplectic Geometry
AbstractIn this article, we study the question of existence of leafwise intersection
points for contact manifolds which are not necessarily of restricted contact
type. Moreover we can find a leafwise intersection point on the symplectization
for special Hamiltonian functions.Existence of leafwise intersection points in the unrestricted case.
Wed, 10/14/2009 - 11:03 — SomNambulAuthors: Jungsoo Kang
Subjects: Symplectic Geometry
AbstractIn this article, we study the question of existence of leafwise intersection
points for contact manifolds which are not necessarily of restricted contact
type. Moreover we can find a leafwise intersection point on the symplectization
for special Hamiltonian functions.
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