ON MAGNETIC LEAF-WISE INTERSECTIONS
نویسندگان
چکیده
منابع مشابه
Leaf-wise Intersections and Rabinowitz Floer Homology
In this article we explain how critical points of a perturbed Rabinowitz action functional give rise to leaf-wise intersection points in hypersurfaces of restricted contact type. This is used to derive existence results for hypersurfaces in general exact symplectic manifolds.
متن کاملNon-displaceable Contact Embeddings and Infinitely Many Leaf-wise Intersections
We construct using Lefschetz fibrations a large family of contact manifolds with the following properties: Any bounding contact embedding into an exact symplectic manifold satisfying a mild topological assumption is non-displaceable and generically has infinitely many leaf-wise intersection points. Moreover, any Stein filling has infinite dimensional symplectic homology.
متن کاملOn k-wise set-intersections and k-wise Hamming-distances
We prove a version of the Ray-Chaudhuri–Wilson and Frankl–Wilson theorems for k-wise intersections and also generalize a classical code-theoretic result of Delsarte for k-wise Hamming distances. A set of code-words a; a; . . . ; ak of length n have k-wise Hamming-distance ‘; if there are exactly ‘ such coordinates, where not all of their coordinates coincide (alternatively, exactly n ‘ of their...
متن کاملK-wise Set-intersections and K-wise Hamming-distances
We prove a version of the Ray-Chaudhuri{Wilson and Frankl-Wilson theorems for kwise intersections and also generalize a classical code-theoretic result of Delsarte for k-wise Hamming distances. A set of code-words a1; a2; : : : ; ak of length n have k-wise Hamming-distance `, if there are exactly ` such coordinates, where not all of their coordinates coincide (alternatively, exactly n ` of thei...
متن کاملInfinitely Many Leaf-wise Intersection Points on Cotangent Bundles
In the article [AF08] we showed that for a special class of perturbations of the Rabinowitz action functional critical points give rise to leaf-wise intersection points. In this article we prove existence of infinitely many leaf-wise intersections points for generic Hamiltonian functions on simply connected cotangent bundles. Along the way we prove that the perturbed Rabinowitz action functiona...
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ژورنال
عنوان ژورنال: Journal of Topology and Analysis
سال: 2012
ISSN: 1793-5253,1793-7167
DOI: 10.1142/s1793525312500173