On a product formula for the Conley-Zehnder index of symplectic paths and its applications

DOI10.1007/s10455-008-9106-zzbMath1145.37013arXivmath/0607024OpenAlexW2004990063MaRDI QIDQ944917

Paolo Piccione, Maurice A. De Gosson, Serge M. De Gosson

Publication date: 10 September 2008

Published in: Annals of Global Analysis and Geometry (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0607024

zbMATH Keywords

metaplectic operatorssymplectic Cayley transformfixed-endpoints homotopiesperiodic Hamiltonian orbits

Mathematics Subject Classification ID

Geometry and quantization, symplectic methods (81S10) Phase-space methods including Wigner distributions, etc. applied to problems in quantum mechanics (81S30) Index theory for dynamical systems, Morse-Conley indices (37B30)

Related Items

Hörmander's index and oscillation theory, A Bangert-Hingston theorem for starshaped hypersurfaces, Hamiltonian no-torsion, Pseudo-rotations and holomorphic curves, Generalized symplectic Cayley transforms and a higher order formula for the Conley-Zehnder index of symplectic paths, Sturm theory with applications in geometry and classical mechanics, Embeddings of free groups into asymptotic cones of Hamiltonian diffeomorphisms, The Conley conjecture for Hamiltonian systems on the cotangent bundle and its analogue for Lagrangian systems, Rigid subsets of symplectic manifolds, On the usefulness of an index due to Leray for studying the intersections of Lagrangian and symplectic paths, Renormalized oscillation theory for regular linear non-Hamiltonian systems

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