Geometry & Topology

A dilogarithmic formula for the Cheeger–Chern–Simons class

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.

Article information

Source
Geom. Topol., Volume 10, Number 3 (2006), 1347-1372.

Dates
Accepted: 14 June 2006
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.gt/1513799769

Digital Object Identifier
doi:10.2140/gt.2006.10.1347

Mathematical Reviews number (MathSciNet)
MR2255500

Zentralblatt MATH identifier
1130.57013

Subjects
Primary: 57M27: Invariants of knots and 3-manifolds

Citation

Dupont, Johan; Zickert, Christian. A dilogarithmic formula for the Cheeger–Chern–Simons class. Geom. Topol. 10 (2006), no. 3, 1347--1372. doi:10.2140/gt.2006.10.1347. https://projecteuclid.org/euclid.gt/1513799769

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