Characteristic classes in $TMF$ of level $\Gamma_1(3)$
2013
Online
report
Let $TMF_1(n)$ be the spectrum of topological modular forms equipped with a $\Gamma_1(n)$-structure. We compute the $K(2)$-local $TMF_1(3)$-cohomology of $B{\mathit String}$ and $B{\mathit Spin}$: both are power series rings freely generated by classes that we explicitly construct and which generalize the classical Pontryagin classes. As a first application of this computation, we show how to construct $TMF(3n)$-cohomology classes from stable positive energy representations of the loop groups $L{\mathit Spin}$.
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Characteristic classes in $TMF$ of level $\Gamma_1(3)$
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Autor/in / Beteiligte Person: | Laures, Gerd |
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Veröffentlichung: | 2013 |
Medientyp: | report |
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