New aspects of complexity theory for 3-manifolds Full article
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Russian Mathematical Surveys
ISSN: 0036-0279 , E-ISSN: 1468-4829 |
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| Output data | Year: 2018, Volume: 73, Number: 4, Pages: 615-660 Pages count : 46 DOI: 10.1070/RM9829 | ||||||||
| Tags | 3-manifolds; Matveev complexity; spines; tetrahedral complexity; triangulations | ||||||||
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Abstract:
Recent developments in the theory of complexity for three- dimensional manifolds are reviewed, including results and methods that emerged over the last decade. Infinite families of closed orientable manifolds and hyperbolic manifolds with totally geodesic boundary are presented, and the exact values of the Matveev complexity are given for them. New methods for computing complexity are described, based on calculation of the Turaev-Viro invariants and hyperbolic volumes of 3-manifolds. Bibliography: 89 titles. © 2018 RAS(DoM) and LMS.
Cite:
Vesnin A.Y.
, Matveev S.V.
, Fominykh E.A.
New aspects of complexity theory for 3-manifolds
Russian Mathematical Surveys. 2018. V.73. N4. P.615-660. DOI: 10.1070/RM9829 WOS Scopus OpenAlex
New aspects of complexity theory for 3-manifolds
Russian Mathematical Surveys. 2018. V.73. N4. P.615-660. DOI: 10.1070/RM9829 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000448388200002 |
| Scopus: | 2-s2.0-85055805397 |
| OpenAlex: | W2890124241 |