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Regina is a suite of mathematical software for 3-manifold topologists. It focuses upon the study of 3-manifold triangulations and includes support for normal surfaces and angle structures.[1]
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Original author(s) | Ben Burton, David Letscher, Richard Rannard, Hyam Rubinstein |
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Developer(s) | Ben Burton, Ryan Budney, William Pettersson |
Initial release | December 2000 |
Stable release | 7.3
/ March, 2023 |
Repository | github |
Written in | C++, Python |
Operating system | Linux, Unix-like, Mac, Microsoft Windows, iOS |
Available in | English |
Type | Mathematical Software |
License | GPL |
Website | regina-normal |
Features
edit- Regina implements a variant of Rubinstein's 3-sphere recognition algorithm. This is an algorithm that determines whether or not a triangulated 3-manifold is homeomorphic to the 3-sphere.
- Regina further implements the connect-sum decomposition. This will decompose a triangulated 3-manifold into a connect-sum of triangulated prime 3-manifolds.
- Homology and Poincare duality for 3-manifolds, including the torsion linking form.
- Includes portions of the SnapPea kernel for some geometric calculations.
- Has both a GUI and Python interface.
See also
editReferences
edit- ^ "ORMS - Regina". orms.mfo.de. Retrieved 2022-10-11.