论文信息 - Combinatorics of triangulations of 3-manifolds

Combinatorics of triangulations of 3-manifolds

In this paper, we study the average edge order of triangulations of closed 3-manifolds and show in particular that the average edge order being less than 4.5 implies that triangulation is on the 3-sphere

Richard Stong | Feng Luo

[1] David W. Barnette. The Triangulations of the 3-Sphere with up to 8 Vertices , 1973, J. Comb. Theory, Ser. A.

[2] Tadao Oda. Convex bodies and algebraic geometry , 1987 .

[3] R. Ho. Algebraic Topology , 2022 .