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arXiv · 1209.6451

Regulators and cycle maps in higher-dimensional differential algebraic K-theory

Ulrich Bunke·Georg Tamme
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Abstract

We develop differential algebraic K-theory of regular arithmetic schemes. Our approach is based on a new construction of a functorial, spectrum level Beilinson regulator using differential forms. We construct a cycle map which represents differential algebraic K-theory classes by geometric vector bundles. As an application we derive Lott's relation between short exact sequences of geometric bundles with a higher analytic torsion form.

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Ulrich Bunke, Georg Tamme. 2015-09-25. Regulators and cycle maps in higher-dimensional differential algebraic K-theory. https://doi.org/10.1016/j.aim.2015.08.004

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