General spectral flow formula for fixed maximal domain

DOI10.2478/BF02475923zbMath1108.58022arXivmath/0504125MaRDI QIDQ2496122

Chaofeng Zhu, Bernhelm Booss-Bavnbek

Publication date: 12 July 2006

Published in: Central European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/math/0504125

zbMATH Keywords

elliptic boundary value problemsMaslov index

Mathematics Subject Classification ID

Lagrangian submanifolds; Maslov index (53D12) Spectral flows (58J30)

Related Items (8)

Some progress on minimal period problems in reversible semi-positive Hamiltonian systems ⋮ The Maslov index in weak symplectic functional analysis ⋮ Spectral flow, crossing forms and homoclinics of Hamiltonian systems ⋮ Instanton Floer homology with Lagrangian boundary conditions ⋮ An index theorem for Schrödinger operators on metric graphs ⋮ Minimal period problems for brake orbits of nonlinear autonomous reversible semipositive Hamiltonian systems ⋮ The Maslov index and the spectra of second order elliptic operators ⋮ The Maslov Index in Symplectic Banach Spaces

Cites Work

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• The Maslov index in weak symplectic functional analysis
• The index theorem in Riemannian geometry
• Floer homology and splittings of manifolds
• Special symplectic spaces
• On the Morse index in variational calculus
• The Maslov index: A functional analytical definition and the spectral flow formula
• The Maslov index for paths
• Perturbation of sectorial projections of elliptic pseudo-differential operators
• Spectral flow in Fredholm modules, eta invariants and the JLO cocycle
• The Morse index theorem in semi-Riemannian geometry
• The Maslov index, the spectral flow, and decompositions of manifolds
• Maslov-type index theory for symplectic paths and spectral flow. II
• Maslov-type index theory for symplectic paths and spectral flow. I
• A relative morse index for the symplectic action
• Spectral asymmetry and Riemannian Geometry. I
• Self-Adjoint Fredholm Operators And Spectral Flow
• The Maslov index and a generalized Morse index theorem for non-positive definite metrics
• The [eta-invariant, Maslov index, and spectral flow for Dirac-type operators on manifolds with boundary]
• Unbounded Fredholm Operators and Spectral Flow
• Calderón Projector for the Hessian of the perturbed Chern–Simons function on a 3-manifold with boundary
• Self-adjoint elliptic operators and manifold decompositions Part II: Spectral flow and Maslov index
• A smooth linear elliptic differential equation without any solution in a sphere
• Singular Integrals and Boundary Value Problems
• Deficiency indices of symmetric operators with elliptic boundary conditions
• Criss-cross reduction of the Maslov index and a proof of the Yoshida-Nicolaescu theorem.

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