Getting started Search Manifold recognizer

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 No. 08-01-00162, joint research project of Ural and Siberian Branches of RAS No. 09-C1-1007, and the program of Basic Research of Mathematical Branch of RAS No.09-T1-1004.

The Atlas contains:

1. A complete list of closed orientable prime 3-manifolds up to complexity 12 (altogether 36833 manifolds). The list is equipped with a search function for getting sublists of manifolds satisfying different restrictions onto their invariants.

start

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.