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.
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Features
- 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
References
"ORMS - Regina". orms.mfo.de. Retrieved 2022-10-11. https://orms.mfo.de/project@terms=normal+surface+theory&id=336.html ↩