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Proceedings of the American Mathematical Society
Proceedings of the American Mathematical Society
ISSN 1088-6826(online) ISSN 0002-9939(print)

 

A note on the Chern-Simons invariant
of hyperbolic 3-manifolds


Author: Mingqing Ouyang
Journal: Proc. Amer. Math. Soc. 125 (1997), 1845-1851
MSC (1991): Primary 57N10; Secondary 57M25
MathSciNet review: 1415359
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Abstract: In this note we study how the Chern-Simons invariant behaves when two hyperbolic 3-manifolds are glued together along incompressible
thrice-punctured spheres. Such an operation produces many hyperbolic 3-manifolds with different numbers of cusps sharing the same volume and the same Chern-Simons invariant. The results in this note, combined with those of Meyerhoff and Ruberman, give an algorithm for determining the unknown constant in Neumann's simplicial formula for the Chern-Simons invariant of hyperbolic 3-manifolds.


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Additional Information

Mingqing Ouyang
Affiliation: Department of Mathematics, University of Michigan, Ann Arbor, Michigan 48109
Email: mouyang@math.lsa.umich.edu

DOI: http://dx.doi.org/10.1090/S0002-9939-97-04022-7
PII: S 0002-9939(97)04022-7
Received by editor(s): December 5, 1995
Communicated by: Ronald Stern
Article copyright: © Copyright 1997 American Mathematical Society