George Rabinowitz

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Rabinowitz Floer Homology and Symplectic Homology

The first two authors have recently defined RabinowitzFloer homology groups RFH∗(M,W ) associated to an exact embedding of a contact manifold (M, ξ) into a symplectic manifold (W,ω). These depend only on the bounded component V of W \ M . We construct a long exact sequence in which symplectic cohomology of V maps to symplectic homology of V , which in turn maps to Rabinowitz-Floer homology RFH∗...

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Estimates and computations in Rabinowitz-Floer homology

The Rabinowitz-Floer homology of a Liouville domain W is the Floer homology of the Rabinowitz free period Hamiltonian action functional associated to a Hamiltonian whose zero energy level is the boundary of W . This invariant has been introduced by K. Cieliebak and U. Frauenfelder and has already found several applications in symplectic topology and in Hamiltonian dynamics. Together with A. Oan...

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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.

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Problems Proposed by Stanley Rabinowitz 1963 – 2005

Problem 198. Pi Mu Epsilon Journal 4(Fall 1967)296 A semi-regular solid is obtained by slicing off sections from the corners of a cube. It is a solid with 36 congruent edges, 24 vertices and 14 faces, 6 of which are regular octagons and 8 are equilateral triangles. If the length of an edge of this polytope is e, what is its volume? Problem E2017. American Mathematical Monthly 74(Oct 1967)1005 L...

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George

not much worried whether they be right or wrong. His desire to be the center of attraction may lead him to do things considered irrational when viewed from other angles. If he is in the upper 10 per cent of his class at school, it might be well to advance him to the next grade, provided he is sufficiently interested to show that he is capable of doing the work. If convenient, the teacher should...

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ژورنال

عنوان ژورنال: PS: Political Science & Politics

سال: 2011

ISSN: 1049-0965,1537-5935

DOI: 10.1017/s1049096511001545