Getting started Search Manifold recognizer Example

Welcome to the Atlas of 3-Manifolds!

This site is created by members of the topology group of Chelyabinsk State University (Russia) under support of Russian Foundation of Basic Research, joint research project of Ural and Siberian Branches of RAS, and the program of Basic Research of Mathematical Branch of RAS.

The Atlas contains:

1. A complete list of closed orientable prime 3-manifolds up to complexity 12 (). The list is equipped with a search function for getting sublists of manifolds satisfying different restrictions onto their invariants.

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2. A free software "3-Manifold Recognizer" designed for mathematicians to work with 3-manifolds. The recognizer accepts many different presentations of 3-manifolds, calculates their different invariants and in many cases completely recognizes them.