3-Manifolds

• Numbers of triangulated 3-manifolds with  n  vertices
  
  
• Small triangulations of geometric 3-manifolds
  
  
• Simplicial manifolds with small valence
  
  

Numbers of triangulated 3-manifolds with  n  vertices

• Frank H. Lutz.   Combinatorial 3-manifolds with 10 vertices.   Beitr. Algebra Geom. 49, 97-106 (2008).

• Thom Sulanke and Frank H. Lutz.   Isomorphism-free lexicographic enumeration of triangulated surfaces and 3-manifolds.   Eur. J. Comb. 30, 1965-1979 (2009).

• Thom Sulanke.   C program   lextet.

Small triangulations of geometric 3-manifolds

• S2xR_spaces  with  homology groups  and smallest known f_vectors
• spherical_3manifolds  with  homology groups  and smallest known f_vectors
• flat_3manifolds  with  homology groups  and smallest known f_vectors
• nil_3manifolds  with  homology groups  and smallest known f_vectors
• H2xR_spaces  with  homology groups  and smallest known f_vectors
• homology_3spheres  of geometry ~SL(2,r) with  homology groups  and smallest known f_vectors
• hyperbolic_dodecahedral_space  of Weber and Seifert with  homology groups  and smallest known f_vector
• hyperbolic_3manifolds  with  homology groups  and smallest known f_vectors

• connected sums  with  homology groups  and smallest known f_vectors

• Frank H. Lutz, Thom Sulanke, and Ed Swartz.   f-vectors of 3-manifolds.   Electron. J. Comb. 16, No. 2, Research Paper R13, 33 p. (2009).

• Frank H. Lutz.   Triangulated Manifolds with Few Vertices: Geometric 3-Manifolds.   Preprint, 48 pages, 2003; arXiv:math/0311116.

Simplicial manifolds with small valence

• Florian Frick, Frank H. Lutz, and John M. Sullivan.   Simplicial manifolds with small valence.   In preparation.

• Frank H. Lutz.   Triangulated surfaces and higher-dimensional manifolds.   Oberwolfach Reports 3, No. 1, 706-707 (2006).

• Frank H. Lutz.   Periodic foams and simplicial manifolds with small valence.   Oberwolfach Reports 4, No. 1, 228-230 (2007).

Last modified: Tue Sep 14 21:26:02 CEST 2021