Generalized symplectic Cayley transforms and a higher order formula for the Conley-Zehnder index of symplectic paths

DOI10.1016/J.NA.2007.04.003zbMath1165.37020OpenAlexW2089286333MaRDI QIDQ927929

Valentina Girolimetti, Roberto Giambò

Publication date: 10 June 2008

Published in: Nonlinear Analysis. Theory, Methods \& Applications. Series A: Theory and Methods (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/j.na.2007.04.003

zbMATH Keywords

Conley-Zehnder indexsymplectic Cayley transform

Mathematics Subject Classification ID

(Semi-) Fredholm operators; index theories (47A53) Spectral flows (58J30) Forms (bilinear, sesquilinear, multilinear) (47A07)

Related Items (2)

An algebraic theory for generalized Jordan chains and partial signatures in the Lagrangian Grassmannian ⋮ On the usefulness of an index due to Leray for studying the intersections of Lagrangian and symplectic paths

Cites Work

• On a product formula for the Conley-Zehnder index of symplectic paths and its applications
• A generalization of Yoshida-Nicolaescu theorem using partial signatures
• The Maslov index for paths
• Computation of the Maslov index and the spectral flow via partial signatures.
• Morse theory for periodic solutions of hamiltonian systems and the maslov index
• On the maslov index
• Self-Adjoint Fredholm Operators And Spectral Flow
• The Spectral Flow and the Maslov Index
• Morse‐type index theory for flows and periodic solutions for Hamiltonian Equations

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