Open Access
2000 Computing arithmetic invariants of 3-manifolds
David Coulson, Oliver A. Goodman, Craig D. Hodgson, Walter D. Neumann
Experiment. Math. 9(1): 127-152 (2000).


Snap is a computer program for computing arithmetic invariants of hyperbolic 3-manifolds, built on Jeff Weeks's SnapPea and the number theory package Pari. Its approach is to compute the hyperbolic structure to very high precision, and use this to find an exact description of the structure. Then the correctness of the hyperbolic structure can be verified, and the arithmetic invariants of Neumann and Reid can be computed. Snap also computes high precision numerical invariants such as volume, Chern--Simons invariant, eta invariant, and the Borel regulator.


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David Coulson. Oliver A. Goodman. Craig D. Hodgson. Walter D. Neumann. "Computing arithmetic invariants of 3-manifolds." Experiment. Math. 9 (1) 127 - 152, 2000.


Published: 2000
First available in Project Euclid: 5 March 2003

zbMATH: 1002.57044
MathSciNet: MR1758805

Primary: 57M27
Secondary: 11Y40 , 58J28

Rights: Copyright © 2000 A K Peters, Ltd.

Vol.9 • No. 1 • 2000
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