TMF₀(3) Characteristic classes for String bundles
classification
🧮 math.AT
keywords
bundlesclassescohomologybstringcharacteristicclasscompletedcompute
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We compute the completed $TMF_0(3)$ cohomology of the 7-connective cover $BString$ of $BO$. We use cubical structures on line bundles over elliptic curves to construct an explicit class which together with the Pontryagin classes freely generates the cohomology ring.
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