Recognition and tabulation of 3-manifolds up to complexity 13
https://doi.org/10.22405/2226-8383-2020-21-2-290-300
Abstract
We describe in breaf the complete table of closed irreducible orientable 3-manifolds of
complexity <=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.
About the Authors
Sergei Vladimirovich Matveev
Chelyabinsk State University; National Research Tomsk State University
Russian Federation
Russian Federation
cademician of RAS, Doctor of Physics and Mathematics,
Professor
Vladimir Viktorovich Tarkaev
Chelyabinsk State University; Institute of Mathematics and Mechanics, Ural Branch of the
Russian Academy of Sciences
Russian Federation
Candidate of Physics and Mathematics, researcher
Russian Federation
Candidate of Physics and Mathematics, researcher
Review
For citations:
Matveev S.V., Tarkaev V.V. Recognition and tabulation of 3-manifolds up to complexity 13. Chebyshevskii Sbornik. 2020;21(2):290-300. https://doi.org/10.22405/2226-8383-2020-21-2-290-300
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