Nerf, Christian (2014) Multiplicative string orientations of p-local and p-complete real K-theory. PhD, Universität Regensburg.
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Abstract (English)
In their work "Multiplicative orientations of ko-theory and of the spectrum of topological modular forms" Ando, Hopkins and Rezk showed, that there exists a multiplicative string orientation of p-complete real K-theorie for every prime p. In this work it is shown, that there exist uncountably many multiplicative string orientations of p-complete and p-lokal real K-theory. To prove this results we use mainly p-adic measure theory.
Translation of the abstract (German)
Ando, Hopkins und Rezk haben in Ihrer Arbeit "Multiplicative orientations of ko-theory and of the spectrum of topological modular forms" gezeigt, dass es für jede Primzahl p eine multiplikative String-Orientierung von p-vollständiger reeller K-Theorie existiert. In dieser Arbeit wird gezeigt, dass sogar überabzählbar viele multiplikative String-Orientierungen von p-vollständiger und p-lokaler ...
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| Item type: | Thesis of the University of Regensburg (PhD) |
|---|---|
| Date: | 7 July 2014 |
| Referee: | Prof. Dr. Niko Naumann |
| Date of exam: | 30 June 2014 |
| Institutions: | Mathematics > Prof. Dr. Niko Naumann |
| Keywords: | p-adische Maßtheorie, Multiplikative String Orientierungen, p-vollständige reelle K-Theorie, p-lokale reelle K-Theorie |
| Dewey Decimal Classification: | 500 Science > 510 Mathematics |
| Status: | Published |
| Refereed: | Yes, this version has been refereed |
| Created at the University of Regensburg: | Yes |
| Item ID: | 30386 |
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