Naumann, Niko and Sprang, Johannes (2019) Simultaneous Kummer congruences and -orientations of KO and tmf. MATHEMATISCHE ZEITSCHRIFT, 292 (1-2). pp. 151-181. ISSN 0025-5874, 1432-1823
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Building on results of Ando, Hopkins and Rezk, we show the existence of uncountably many -String orientations of real K-theory KO and of topological modular forms tmf, generalizing the - (resp. the Witten) genus. Furthermore, the obstruction to lifting an -String orientations from KO to tmf is identified with a classical Iwasawa-theoretic condition. The common key to all these results is a precise understanding of the classical Kummer congruences, imposed for all primes simultaneously. This result is of independent arithmetic interest.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ; |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Niko Naumann |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 14 Apr 2020 09:10 |
| Last Modified: | 14 Apr 2020 09:10 |
| URI: | https://pred.uni-regensburg.de/id/eprint/26965 |
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