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Regina

Mathematical software for low-dimensional topology

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Regina is a software package for 3-manifold and 4-manifold topologists, with a focus on triangulations, knots and links, normal surfaces, and angle structures.

For 3-manifolds, it includes high-level tasks such as 3-sphere recognition, connected sum decomposition and Hakenness testing, comes with a rich database of census manifolds, and incorporates the SnapPea kernel for working with hyperbolic manifolds. For 4-manifolds, it offers a range of combinatorial and algebraic tools, plus support for normal hypersurfaces. For knots and links, Regina can perform combinatorial manipulation, compute knot polynomials, and work with several import/export formats.

Regina comes with a full graphical user interface, as well as Python bindings and a low-level C++ programming interface.

Information

License

GPL-2.0-or-later

Versions

7.3-2 (crimson)

6.0.1-4 (byzantium)

Category

Math