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.
| Author details: | Daniel Wallenta |
|---|---|
| DOI: | https://doi.org/10.1007/s00020-014-2122-4 |
| ISSN: | 0378-620X |
| ISSN: | 1420-8989 |
| Title of parent work (English): | Integral equations and operator theor |
| Publisher: | Springer |
| Place of publishing: | Basel |
| Publication type: | Article |
| Language: | English |
| Year of first publication: | 2014 |
| Publication year: | 2014 |
| Release date: | 2017/03/27 |
| Tag: | Elliptic complexes; Fredholm complexes; Lefschetz number |
| Volume: | 78 |
| Issue: | 4 |
| Number of pages: | 11 |
| First page: | 577 |
| Last Page: | 587 |
| Organizational units: | Mathematisch-Naturwissenschaftliche Fakultät / Institut für Mathematik |
| Peer review: | Referiert |
