A generalization of Yoshida-Nicolaescu theorem using partial signatures

DOI10.1007/s00209-006-0029-8zbMath1195.58009OpenAlexW1965527359MaRDI QIDQ970204

Paolo Piccione, J. C. Corrêa Eidam

Publication date: 10 May 2010

Published in: Mathematische Zeitschrift (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00209-006-0029-8

zbMATH Keywords

spectral flowMaslov indexHermitian vector bundle

Mathematics Subject Classification ID

Perturbations of PDEs on manifolds; asymptotics (58J37) Spectral flows (58J30)

Related Items (4)

Extensions of symmetric operators that are invariant under scaling and applications to indicial operators ⋮ Generalized symplectic Cayley transforms and a higher order formula for the Conley-Zehnder index of symplectic paths ⋮ An algebraic theory for generalized Jordan chains and partial signatures in the Lagrangian Grassmannian ⋮ The essential Lagrangian-Grassmannian and the homotopy type of the Fredholm Lagrangian-Grassmannian

Cites Work

• Unnamed Item
• Unnamed Item
• Unnamed Item
• Fredholm-Lagrangian-Grassmannian and the Maslov index
• Desuspension of splitting elliptic symbols. II
• Floer homology and splittings of manifolds
• The Maslov index: A functional analytical definition and the spectral flow formula
• The index of a pair of projections
• Computation of the Maslov index and the spectral flow via partial signatures.
• The Maslov index, the spectral flow, and decompositions of manifolds
• Generalized Jordan chains and two bifurcation theorems of Krasnoselskii
• Self-adjoint elliptic operators and manifold decompositions Part III: Determinant line bundles and Lagrangian intersection
• An extension of a theorem of Nicolaescu on spectral flow and the Maslov index
• Complementary Lagrangians in infinite dimensional symplectic Hilbert spaces
• Seminar on Atiyah-Singer Index Theorem. (AM-57)
• Singular Integrals and Boundary Value Problems
• AN OPERATOR GENERALIZATION OF THE LOGARITHMIC RESIDUE THEOREM AND THE THEOREM OF ROUCHÉ
• Criss-cross reduction of the Maslov index and a proof of the Yoshida-Nicolaescu theorem.
• Jumps of the eta-invariant. (With an appendix by Shmuel Weinberger: Rationality of \(\rho\)-invariants)

This page was built for publication: A generalization of Yoshida-Nicolaescu theorem using partial signatures