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- W3100949552 abstract "Building on results of M. Ando, M.J. Hopkins and C. Rezk, we show the existence of uncountably many $mathbb{E}_infty$-String orientations of real K-theory KO and of topological modular forms tmf, generalizing the $hat{A}$- (resp. the Witten) genus. Furthermore, the obstruction to lifting an $mathbb{E}_infty$-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." @default.
- W3100949552 created "2020-11-23" @default.
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- W3100949552 date "2018-10-16" @default.
- W3100949552 modified "2023-10-11" @default.
- W3100949552 title "Simultaneous Kummer congruences and $${mathbb {E}}_infty $$ E ∞ -orientations of KO and tmf" @default.
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- W3100949552 doi "https://doi.org/10.1007/s00209-018-2156-4" @default.
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