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.
• The syntax of the file 2_manifolds.txt was fixed. Two manifolds, manifold_2_15_2_2 and manifold_2_15_1_1, were violating the format by being stored without a separating newline. This change has no bearing on the the triangulations as such but it simplifies parsing the format.