S. V. Matveev, V. V. Tarkaev, “Recognition and tabulation of $3$-manifolds up to complexity $13$”, Chebyshevskii Sb., 2020, Volume 21, Issue 2,Pages 290

Recognition and tabulation of $3$-manifolds up to complexity $13$

S. V. Matveev^ab, V. V. Tarkaev^ac

^a National Research Tomsk State University, Tomsk
^b Chelyabinsk State University, Chelyabinsk
^c Institute of Mathematics and Mechanics, Ural Branch of the Russian Academy of Sciences, Ekaterinburg

Abstract: We describe in breaf the complete table of closed irreducible orientable $3$-manifolds of complexity $\le 13$, and method of its creation and verification. Also we formulate a conjectures concerning the growth of the number of some kinds of manifolds. The appendix contains a short explanation of used terminology.

Keywords: three-dimensional manifolds, complexity of manifold, special spines, tabulation of three-dimensional manifolds.

UDC: 515.162.32

Received: 29.11.2019
Accepted: 11.03.2020

Language: English

DOI: 10.22405/2226-8383-2018-21-2-290-300