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Spectral Flow

Spectral Flow

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This is the first treatment entirely dedicated to an analytic study of spectral flow for paths of selfadjoint Fredholm operators, possibly unbounded or understood in a semi finite sense. The importance of spectral flow for homotopy and index theory are discussed in detail. Applications concern eta-invariants, the Bott-Maslov and Conley-Zehnder indices, Sturm-Liouville oscillation theory, the spectral localizer and bifurcation theory.

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Keywords

  • applied mathematics
  • Bott-Maslov and Conley-Zehnder indices
  • Calculus & mathematical analysis
  • Differential calculus & equations
  • Mathematics
  • Mathematics & science
  • Numerical analysis
  • Oscillation theory Jacobi operators
  • scattering theory
  • Self-adjoint Fredholm operators
  • thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations
  • thema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis
  • thema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
  • theory of Fredholm pairs
  • thereon Index
  • topologies
  • Variational bifurcation theory

Links

DOI: 10.1515/9783111172477

Editions

edition cover
Contributors: Nora Doll, Hermann Schulz-Baldes, Nils Waterstraat,
1 ebooks
Publisher: De Gruyter
Published: 2023
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