Spectral Flow A Functional Analytic and Index-Theoretic Approach
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-i...
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| Other Authors: | , |
| Format: | eBook |
| Language: | English |
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Berlin/Boston
De Gruyter
2023
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| Series: | De Gruyter Studies in Mathematics
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| Subjects: | |
| Online Access: | |
| Collection: | Directory of Open Access Books - Collection details see MPG.ReNa |
| Summary: | 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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| Item Description: | Creative Commons (cc), https://creativecommons.org/licenses/by-nc-nd/4.0/ |
| Physical Description: | 1 electronic resource (442 p.) |
| ISBN: | 9783111169897 9783111172477 9783111173085 |