Rahul Sharma (Editor)

Regina (program)

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Initial release
  
December 2000

Development status
  
active

Stable release
  
4.96 / Aug, 2014

Written in
  
C++, Python

Regina (program)

Original author(s)
  
Ben Burton, David Letscher, Richard Rannard, Hyam Rubinstein

Developer(s)
  
Ben Burton, Ryan Budney, William Pettersson

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.

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.

    • References

    Regina (program) Wikipedia
    (Text) CC BY-SA