Neumann and Zagier’s symplectic relations. (English) Zbl 1136.57300
Summary: We give a new proof of W. D. Neumann and D. Zagier’s [Topology 24, 307–332 (1985; Zbl 0589.57015)] symplectic relations. This approach was originally suggested by W. Thurston [The Geometry and Topology of Three Manifolds, Lecture Notes, Princeton University (1979)].
Citations:
Zbl 0589.57015References:
| [1] | Benedetti, R.; Petronio, C., Lectures on Hyperbolic Geometry (1992), Springer: Springer Berlin · Zbl 0768.51018 |
| [2] | Choi, Y., Positively oriented ideal triangulations on hyperbolic three-manifolds, Topology, 43, 1345-1371 (2004) · Zbl 1071.57012 |
| [3] | Epstein, D.; Penner, R., Euclidean decompositions of noncompact hyperbolic manifolds, J. Differential Geom., 27, 67-80 (1988) · Zbl 0611.53036 |
| [4] | Neumann, W.; Zagier, D., Volumes of hyperbolic three-manifolds, Topology, 24, 307-332 (1985) · Zbl 0589.57015 |
| [5] | Petronio, C.; Porti, J., Negatively oriented ideal triangulations and a proof of Thurston’s hyperbolic Dehn filling theorem, Exposition. Math., 18, 1-35 (2000) · Zbl 0977.57011 |
| [6] | Petronio, C.; Weeks, J., Partially flat ideal triangulations of cusped hyperbolic 3-manifolds, Osaka J. Math., 37, 453-466 (2000) · Zbl 0952.57003 |
| [7] | W. Thurston, The Geometry and Topology of Three-Manifolds, Princeton Lecture Notes, 1979.; W. Thurston, The Geometry and Topology of Three-Manifolds, Princeton Lecture Notes, 1979. |
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