A note on the Chern-Simons invariant of hyperbolic 3-manifolds
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- by Mingqing Ouyang PDF
- Proc. Amer. Math. Soc. 125 (1997), 1845-1851 Request permission
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 Neumannโs simplicial formula for the Chern-Simons invariant of hyperbolic 3-manifolds.References
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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
- Received by editor(s): December 5, 1995
- Communicated by: Ronald Stern
- © Copyright 1997 American Mathematical Society
- Journal: Proc. Amer. Math. Soc. 125 (1997), 1845-1851
- MSC (1991): Primary 57N10; Secondary 57M25
- DOI: https://doi.org/10.1090/S0002-9939-97-04022-7
- MathSciNet review: 1415359