Abstract
W. Thurston suggested a method for computing hyperbolic volume of hyperbolic 3-manifolds, based on a triangulation of the manifold. The method was implemented by J. Weeks in the program SnapPea, which produces a decimal approximation as a result. For hyperbolic 2-bridge links, we give formulae that allow one to find the exact volume, i.e., to construct a polynomial and to find volume as an analytic function of one of its roots. The computation is performed directly from a reduced, alternating link diagram.
| Original language | English (US) |
|---|---|
| Pages (from-to) | 881-896 |
| Number of pages | 16 |
| Journal | Communications in Analysis and Geometry |
| Volume | 22 |
| Issue number | 5 |
| DOIs | |
| State | Published - 2014 |
| Externally published | Yes |
All Science Journal Classification (ASJC) codes
- Analysis
- Statistics and Probability
- Geometry and Topology
- Statistics, Probability and Uncertainty
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