Morse inequalities for ordered eigenvalues of generic self-adjoint families
DOI10.1007/s00222-024-01284-yMaRDI QIDQ6614103
Gregory Berkolaiko, Igor Zelenko
Publication date: 7 October 2024
Published in: Inventiones Mathematicae (Search for Journal in Brave)
Nonsmooth analysis (49J52) Grassmannians, Schubert varieties, flag manifolds (14M15) Spectrum, resolvent (47A10) Functions whose values are linear operators (operator- and matrix-valued functions, etc., including analytic and meromorphic ones) (47A56) Critical points and critical submanifolds in differential topology (57R70) Critical points of functions and mappings on manifolds (58K05) Stratified sets (58A35) Relations of manifolds and cell complexes with physics (57Z05)
Cites Work
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- Unnamed Item
- On the space of symmetric operators with multiple ground states
- Cohomology of sheaves
- On a magnetic characterization of spectral minimal partitions
- Nodal count of graph eigenfunctions via magnetic perturbation
- Magnetic interpretation of the nodal defect on graphs
- Singularities of differentiable maps, Volume 1. Classification of critical points, caustics and wave fronts. Transl. from the Russian by Ian Porteous, edited by V. I. Arnol'd
- The number of nodal domains on quantum graphs as a stability index of graph partitions
- Multiparameter perturbation theory of Fredholm operators applied to Bloch functions
- Stability of transversality to a stratification implies Whitney (a)- regularity
- Minimax theorems and qualitative properties of the solutions of hemivariational inequalities
- The Clarke and Michel-Penot subdifferentials of the eigenvalues of a symmetric matrix
- On the behavior of eigenvalues in adiabatic processes
- On the structure of band edges of \(2\)-dimensional periodic elliptic operators
- Symmetry and Dirac points in graphene spectrum
- Perturbation theory for linear operators.
- On Morse theory for piecewise smooth functions
- Tangents to an analytic variety
- Modes and quasimodes
- Sur la topologie de certaines variétés algébriques réelles.
- Sur la topologie de certains espaces homogènes.
- On integral invariants and Betti numbers of symmetric Riemannian manifolds. I, II
- Topology of the isospectral real manifolds associated with the generalized Toda lattices on semisimple Lie algebras
- An overview of periodic elliptic operators
- Homotopical Topology
- Shape optimization and spectral theory
- Morse Theory. (AM-51)
- Characteristic Classes. (AM-76)
- Dirac–Coulomb operators with general charge distribution II. The lowest eigenvalue
- MORSE THEORY FOR EIGENVALUE FUNCTIONS OF SYMMETRIC TENSORS
- Surgery principles for the spectral analysis of quantum graphs
- Honeycomb lattice potentials and Dirac points
- The Geometry of Immersions. I
- The Frequency Spectrum of a Two-Dimensional Ionic Lattice
- The Occurrence of Singularities in the Elastic Frequency Distribution of a Crystal
- Quantum calculus
- Morse theory for discrete magnetic operators and nodal count distribution for graphs
This page was built for publication: Morse inequalities for ordered eigenvalues of generic self-adjoint families
