Volume 11, issue 3 (2007)

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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 $BSL\left(2,{ℂ}^{\delta }\right)$. 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