Bunke, Ulrich and Tamme, Georg (2015) Regulators and cycle maps in higher-dimensional differential algebraic K-theory. ADVANCES IN MATHEMATICS, 285. pp. 1853-1969. ISSN 0001-8708, 1090-2082
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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. (C) 2015 Elsevier Inc. All rights reserved.
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | ANALYTIC TORSION; CHERN CHARACTER; VECTOR-BUNDLES; INDEX THEOREM; SINGULARITIES; RESOLUTION; VARIETY; FIELD; Regulators; Beilinson's regulator; Absolute Hodge cohomology; Differential cohomology; Differential algebraic K-theory; Lott's conjecture |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics > Prof. Dr. Ulrich Bunke |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 07 May 2019 09:58 |
| Last Modified: | 07 May 2019 09:58 |
| URI: | https://pred.uni-regensburg.de/id/eprint/4469 |
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