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Multiplicative string orientations of p-local and p-complete real K-theory

Nerf, Christian (2014) Multiplicative string orientations of p-local and p-complete real K-theory. PhD, Universität Regensburg.

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Date of publication of this fulltext: 07 Jul 2014 14:56

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
Owner only: item control page

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