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Spectral Flow

A Functional Analytic and Index-Theoretic Approach

dc.contributor.authorDoll, Nora
dc.contributor.authorSchulz-Baldes, Hermann
dc.contributor.authorWaterstraat, Nils
dc.date.accessioned2023-07-19T07:08:46Z
dc.date.available2023-07-19T07:08:46Z
dc.date.issued2023
dc.date.submitted2023-07-04T15:56:56Z
dc.identifierONIX_20230704_9783111172477_34
dc.identifier0179-0986
dc.identifierhttps://library.oapen.org/handle/20.500.12657/63798
dc.identifier.urihttps://directory.doabooks.org/handle/20.500.12854/101580
dc.description.abstractThis 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.
dc.languageEnglish
dc.relation.ispartofseriesDe Gruyter Studies in Mathematics
dc.rightsopen access
dc.subject.classificationthema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equationsen_US
dc.subject.classificationthema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysisen_US
dc.subject.classificationthema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematicsen_US
dc.subject.otherSelf-adjoint Fredholm operators
dc.subject.othertopologies
dc.subject.otherthereon Index
dc.subject.othertheory of Fredholm pairs
dc.subject.otherBott-Maslov and Conley-Zehnder indices
dc.subject.otherOscillation theory Jacobi operators
dc.subject.otherscattering theory
dc.subject.otherVariational bifurcation theory
dc.subject.otherthema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKJ Differential calculus and equations
dc.subject.otherthema EDItEUR::P Mathematics and Science::PB Mathematics::PBK Calculus and mathematical analysis::PBKS Numerical analysis
dc.subject.otherthema EDItEUR::P Mathematics and Science::PB Mathematics::PBW Applied mathematics
dc.titleSpectral Flow
dc.title.alternativeA Functional Analytic and Index-Theoretic Approach
dc.typebook
oapen.identifier.doi10.1515/9783111172477
oapen.relation.isPublishedByaf2fbfcc-ee87-43d8-a035-afb9d7eef6a5
oapen.relation.isbn9783111172477
oapen.relation.isbn9783111169897
oapen.relation.isbn9783111173085
oapen.imprintDe Gruyter
oapen.pages442
oapen.place.publicationBerlin/Boston
dc.seriesnumber94


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