Geodesic
The Extended Bloch Group and the Cheeger–Chern–Simons Class
Goette, Sebastian1 ; Zickert, Christian2
1 Mathematisches Institut, Universität Freiburg, Eckerstr. 1, 79104 Freiburg, Germany
2 Department of Mathematics, Columbia University, New York NY 10027, USA
Geometry & topology, Tome 11 (2007) no. 3, pp. 1623-1635.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

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

DOI : 10.2140/gt.2007.11.1623
Keywords: Extended Bloch group, Cheeger-Chern-Simons class, Rogers dilogarithm

Goette, Sebastian 1 ; Zickert, Christian 2

1 Mathematisches Institut, Universität Freiburg, Eckerstr. 1, 79104 Freiburg, Germany
2 Department of Mathematics, Columbia University, New York NY 10027, USA 
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Goette, Sebastian; Zickert, Christian. The Extended Bloch Group and the Cheeger–Chern–Simons Class. Geometry & topology, Tome 11 (2007) no. 3, pp. 1623-1635. doi : 10.2140/gt.2007.11.1623. http://geodesic.mathdoc.fr/articles/10.2140/gt.2007.11.1623/

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