Stellar (The Manifold Page) Archive

This is an archive of the mathematical research work by Frank H. Lutz. In the current version of this resource, we preserve all triangulations of 2-manifolds and 3-manifolds in mixed lexicographic format. In this version, a new set of simplicial manifolds with small valence (4787 triangulations) has been added.

Major changes

We kept all files as-is, except for keeping an uncompressed copy of the file 3_manifolds_10_all.txt.gz, which is now named 3_manifolds_10_all.txt. We also added a new file manifolds_lex_d3_deg5_hom.txt, which contains the homology groups (including torsion coefficients) of simplicial manifolds with small valence (4787 triangulations). This file was not present in the original archive.

Minor changes

The syntax of the file manifolds_lex_d3_deg5.txt was fixed to be consistent with the syntax in the order files. This required changing 26 line endings, in which a closing "]" was on a line of its own, to line endings of the form "]]". This change has no bearing on the triangulation as such but it simplifies parsing the format.