Getting started Search Manifold recognizer Example

Welcome to the Atlas of 3-Manifolds!

This site is created by Laboratory of Quantum Topology of Chelyabinsk State University (Russia) under support of Russian Federation government grant 14.Z50.31.0020.

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.


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.