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"... Automorphic forms and cohomology theories on Shimura curves of small discriminant ..."

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Automorphic forms and cohomology theories on Shimura curves of small discriminant

### String bordism and chromatic characteristics

, 2013

"... We introduce characteristics into chromatic homotopy theory. This parallels the prime characteristics in number theory as well as in our earlier work on structured ring spectra and unoriented bordism theory. Here, the K(n)-local Hopkins-Miller classes ζn take the places of the prime numbers, and thi ..."

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We introduce characteristics into chromatic homotopy theory. This parallels the prime characteristics in number theory as well as in our earlier work on structured ring spectra and unoriented bordism theory. Here, the K(n)-local Hopkins-Miller classes ζn take the places of the prime numbers, and this allows us to discuss higher bordism theories. We prove that the K(2)-localizations of the spectrum of topolog-ical modular forms as well as the string bordism spectrum have characteristic ζ2. 2010 MSC: primary 55N22, 55P43; secondary 19L41, 57R90, 58J26. 1