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1 December 2009 The volume and Chern-Simons invariant of a representation
Christian K. Zickert
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Duke Math. J. 150(3): 489-532 (1 December 2009). DOI: 10.1215/00127094-2009-058

Abstract

We give an efficient simplicial formula for the volume and Chern-Simons invariant of a boundary-parabolic PSL(2,C)-representation of a tame 3-manifold. If the representation is the geometric representation of a hyperbolic 3-manifold, our formula computes the volume and Chern-Simons invariant directly from an ideal triangulation with no use of additional combinatorial topology. In particular, the Chern-Simons invariant is computed just as easily as the volume

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Christian K. Zickert. "The volume and Chern-Simons invariant of a representation." Duke Math. J. 150 (3) 489 - 532, 1 December 2009. https://doi.org/10.1215/00127094-2009-058

Information

Published: 1 December 2009
First available in Project Euclid: 27 November 2009

zbMATH: 1246.58019
MathSciNet: MR2582103
Digital Object Identifier: 10.1215/00127094-2009-058

Subjects:
Primary: 58J28
Secondary: 57M27

Rights: Copyright © 2009 Duke University Press

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Vol.150 • No. 3 • 1 December 2009
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