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ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
The Extended Bloch Group and the Cheeger–Chern–Simons Class

Sebastian Goette and Christian K Zickert

Geometry & Topology 11 (2007) 1623–1635

arXiv: 0705.0500

Abstract

We present a formula for the full Cheeger–Chern–Simons class of the tautological flat complex vector bundle of rank 2 over BSL(2, δ). This improves the formula by Dupont and Zickert [Geom. Topol. 10 (2006) 1347–1372], where the class is only computed modulo 2–torsion.

Keywords
Extended Bloch group, Cheeger-Chern-Simons class, Rogers dilogarithm
Mathematical Subject Classification 2000
Primary: 57R20, 11G55
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Publication
Received: 5 June 2007
Revised: 11 July 2007
Accepted: 4 July 2007
Published: 2 August 2007
Proposed: Robion Kirby
Seconded: Shigeyuki Morita, Joan Birman
Authors
Sebastian Goette
Mathematisches Institut
Universität Freiburg
Eckerstr. 1
79104 Freiburg
Germany
Christian K Zickert
Department of Mathematics
Columbia University
New York NY 10027
USA