Further Examples

Small triangulations of some well-known 4-manifolds

• 4-manifolds  with  homology groups  and smallest known f_vectors

Vertex-minimal triangulations

• RP^3
• L(3,1)
• sphere bundles (S2xS1)^#k and twisted sphere bundles (S2twistS1)^#k, where k = 2, 3, 4, 5, 6, 7, 8, 10, 11, 14.
• CP^2
• RP^4
• K3 surface
• S^3 x S^2  with  Altshuler-Steinberg determinants

``Non''-spheres

• Barnette's_non polytopal 3-sphere
• Gruenbaum-Sreedharan's non-polytopal 3-sphere
• non-shellable, non-constructible 3-sphere
• Poincaré 3-sphere
• non-PL 5-sphere

Last modified: Thu Aug 25 12:39:32 CEST 2011