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

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dc.creatorde Gosson, Maurice
dc.creatorde Gosson, Serge
dc.creatorPiccione, Paolo
dc.date2006-07-01
dc.date.accessioned2026-07-07T07:17:55Z
dc.date.available2026-07-07T07:17:55Z
dc.descriptionUsing invariance by fixed-endpoints homotopies and a generalized notion of symplectic Cayley transform, we prove a product formula for the Conley--Zehnder index of continuous paths with arbitrary endpoints in the symplectic group. We discuss two applications of the formula, to the metaplectic group and to periodic solutions of Hamiltonian systems.
dc.identifierhttps://arxiv.org/abs/math/0607024
dc.identifierhttp://arxiv.org/abs/math/0607024
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/114116
dc.subjectSymplectic Geometry
dc.subjectMathematical Physics
dc.titleOn a product formula for the Conley--Zehnder index of symplectic paths and its applications
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