A dilogarithmic formula for the Cheeger-Chern-Simons class. (English) Zbl 1130.57013
Summary: We present a simplification of Neumann’s formula [W. D. Neumann, Geom. Topol. 8, 413–474 (2004; Zbl 1053.57010)] for the universal Cheeger-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.
MSC:
| 57M27 | Invariants of knots and \(3\)-manifolds (MSC2010) |
| 58J28 | Eta-invariants, Chern-Simons invariants |
| 11G55 | Polylogarithms and relations with \(K\)-theory |
| 57T10 | Homology and cohomology of Lie groups |
| 57T30 | Bar and cobar constructions |
Citations:
Zbl 1053.57010References:
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