Computing arithmetic invariants of 3-manifolds
Coulson, David ; Goodman, Oliver A. ; Hodgson, Craig D. ; Neumann, Walter D.
Experiment. Math., Tome 9 (2000) no. 3, p. 127-152 / Harvested from Project Euclid
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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.
Publié le : 2000-05-14
Classification:  57M27,  11Y40,  58J28 
@article{1046889596,
     author = {Coulson, David and Goodman, Oliver A. and Hodgson, Craig D. and Neumann, Walter D.},
     title = {Computing arithmetic invariants of 3-manifolds},
     journal = {Experiment. Math.},
     volume = {9},
     number = {3},
     year = {2000},
     pages = { 127-152},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1046889596}
}

Coulson, David; Goodman, Oliver A.; Hodgson, Craig D.; Neumann, Walter D. Computing arithmetic invariants of 3-manifolds. Experiment. Math., Tome 9 (2000) no. 3, pp.  127-152. http://gdmltest.u-ga.fr/item/1046889596/