# String bordism and chromatic characteristics

@article{Szymik2019StringBA, title={String bordism and chromatic characteristics}, author={Markus Szymik}, journal={Homotopy Theory: Tools and Applications}, year={2019} }

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 $\zeta_n$ 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 topological modular forms as well as the string bordism spectrum have characteristic…

## 2 Citations

Commutative S-algebras of prime characteristics and applications to unoriented bordism

- Mathematics
- 2012

The notion of highly structured ring spectra of prime characteristic is made precise and is studied via the versal examples S//p for prime numbers p. These can be realized as Thom spectra, and…

A simple universal property of Thom ring spectra

- MathematicsJournal of Topology
- 2018

We give a simple universal property of the multiplicative structure on the Thom spectrum of an $n$-fold loop map, obtained as a special case of a characterization of the algebra structure on the…

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