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New aspects of complexity theory for 3-manifolds. / Vesnin, A. Yu; Matveev, S. V.; Fominykh, E. A.

In: Russian Mathematical Surveys, Vol. 73, No. 4, 01.08.2018, p. 615-660.

Research output: Contribution to journal › Article › peer-review

Harvard

Vesnin, AY, Matveev, SV & Fominykh, EA 2018, 'New aspects of complexity theory for 3-manifolds', Russian Mathematical Surveys, vol. 73, no. 4, pp. 615-660. https://doi.org/10.1070/RM9829

APA

Vesnin, A. Y., Matveev, S. V., & Fominykh, E. A. (2018). New aspects of complexity theory for 3-manifolds. Russian Mathematical Surveys, 73(4), 615-660. https://doi.org/10.1070/RM9829

Vancouver

Vesnin AY, Matveev SV, Fominykh EA. New aspects of complexity theory for 3-manifolds. Russian Mathematical Surveys. 2018 Aug 1;73(4):615-660. https://doi.org/10.1070/RM9829

Author

Vesnin, A. Yu ; Matveev, S. V. ; Fominykh, E. A. / New aspects of complexity theory for 3-manifolds. In: Russian Mathematical Surveys. 2018 ; Vol. 73, No. 4. pp. 615-660.

BibTeX

@article{48601ed9b63f4f87b6dcf079a05c06cf,
title = "New aspects of complexity theory for 3-manifolds",
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.",
keywords = "3-manifolds, Matveev complexity, spines, tetrahedral complexity, triangulations",
author = "Vesnin, {A. Yu} and Matveev, {S. V.} and Fominykh, {E. A.}",
year = "2018",
month = aug,
day = "1",
doi = "10.1070/RM9829",
language = "English",
volume = "73",
pages = "615--660",
journal = "Russian Mathematical Surveys",
issn = "0036-0279",
publisher = "IOP Publishing Ltd.",
number = "4",

}

RIS

TY - JOUR

T1 - New aspects of complexity theory for 3-manifolds

AU - Vesnin, A. Yu

AU - Matveev, S. V.

AU - Fominykh, E. A.

PY - 2018/8/1

Y1 - 2018/8/1

N2 - 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.

AB - 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.

KW - 3-manifolds

KW - Matveev complexity

KW - spines

KW - tetrahedral complexity

KW - triangulations

UR - http://www.scopus.com/inward/record.url?scp=85055805397&partnerID=8YFLogxK

U2 - 10.1070/RM9829

DO - 10.1070/RM9829

M3 - Article

AN - SCOPUS:85055805397

VL - 73

SP - 615

EP - 660

JO - Russian Mathematical Surveys

JF - Russian Mathematical Surveys

SN - 0036-0279

IS - 4

ER -

ID: 40112670