A Lefschetz fixed point formula for elliptic quasicomplexes
- In a recent paper, the Lefschetz number for endomorphisms (modulo trace class operators) of sequences of trace class curvature was introduced. We show that this is a well defined, canonical extension of the classical Lefschetz number and establish the homotopy invariance of this number. Moreover, we apply the results to show that the Lefschetz fixed point formula holds for geometric quasiendomorphisms of elliptic quasicomplexes.
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| Author details: | Daniel WallentaGND |
|---|---|
| URN: | urn:nbn:de:kobv:517-opus4-435471 |
| DOI: | https://doi.org/10.25932/publishup-43547 |
| ISSN: | 1866-8372 |
| Title of parent work (German): | Postprints der Universität Potsdam : Mathematisch Naturwissenschaftliche Reihe |
| Publication series (Volume number): | Zweitveröffentlichungen der Universität Potsdam : Mathematisch-Naturwissenschaftliche Reihe (885) |
| Publication type: | Postprint |
| Language: | English |
| Date of first publication: | 2020/04/20 |
| Publication year: | 2014 |
| Publishing institution: | Universität Potsdam |
| Release date: | 2020/04/20 |
| Tag: | Fredholm complexes; Lefschetz number; elliptic complexes |
| Issue: | 885 |
| Number of pages: | 13 |
| First page: | 577 |
| Last Page: | 587 |
| Source: | Integral Equations and Operator Theory 78 (2014) 577–587 DOI: 10.1007/s00020-014-2122-4 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät |
| DDC classification: | 0 Informatik, Informationswissenschaft, allgemeine Werke / 00 Informatik, Wissen, Systeme / 004 Datenverarbeitung; Informatik |
| 5 Naturwissenschaften und Mathematik / 51 Mathematik / 510 Mathematik | |
| Peer review: | Referiert |
| Publishing method: | Open Access |
| License (German): |  Keine öffentliche Lizenz: Unter Urheberrechtsschutz |
