A dilogarithmic formula for the Cheeger–Chern–Simons class

Dupont, Johan; Zickert, Christian

doi:10.2140/gt.2006.10.1347

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A dilogarithmic formula for the Cheeger–Chern–Simons class

Johan L Dupont and Christian K Zickert

Geometry & Topology 10 (2006) 1347–1372

DOI: 10.2140/gt.2006.10.1347

arXiv: 0903.0284

Abstract

We present a simplification of Neumann’s formula for the universal Cheeger–Chern–Simons class of the second Chern polynomial. Our approach is completely algebraic, and the final formula can be applied directly on a homology class in the bar complex.

Keywords

Extended Bloch group, Cheeger–Chern–Simons class

Mathematical Subject Classification 2000

Primary: 57M27

Secondary: 57T30

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Publication

Received: 2 August 2005

Accepted: 14 June 2006

Published: 26 September 2006

Proposed: Shigeyuki Morita

Seconded: Joan Birman, Robion Kirby

Authors

Johan L Dupont
Department of Mathematics University of Aarhus DK-8000 Århus Denmark

Christian K Zickert
Department of Mathematics Columbia University New York, NY 10027 USA

Volume 10, issue 3 (2006)