Standard

Three-dimensional manifolds with poor spines. / Vesnin, A. Yu; Turaev, V. G.; Fominykh, E. A.

в: Proceedings of the Steklov Institute of Mathematics, Том 288, № 1, 01.01.2015, стр. 29-38.

Результаты исследований: Научные публикации в периодических изданиях › статья › Рецензирование

Harvard

Vesnin, AY, Turaev, VG & Fominykh, EA 2015, 'Three-dimensional manifolds with poor spines', Proceedings of the Steklov Institute of Mathematics, Том. 288, № 1, стр. 29-38. https://doi.org/10.1134/S0081543815010034

APA

Vesnin, A. Y., Turaev, V. G., & Fominykh, E. A. (2015). Three-dimensional manifolds with poor spines. Proceedings of the Steklov Institute of Mathematics, 288(1), 29-38. https://doi.org/10.1134/S0081543815010034

Vancouver

Vesnin AY, Turaev VG, Fominykh EA. Three-dimensional manifolds with poor spines. Proceedings of the Steklov Institute of Mathematics. 2015 Янв. 1;288(1):29-38. https://doi.org/10.1134/S0081543815010034

Author

Vesnin, A. Yu ; Turaev, V. G. ; Fominykh, E. A. / Three-dimensional manifolds with poor spines. в: Proceedings of the Steklov Institute of Mathematics. 2015 ; Том 288, № 1. стр. 29-38.

BibTeX

@article{83b19ad10f97436186d7c36c36abb4ce,
title = "Three-dimensional manifolds with poor spines",
abstract = "A special spine of a 3-manifold is said to be poor if it does not contain proper simple subpolyhedra. Using the Turaev-Viro invariants, we establish that every compact 3-manifold M with connected nonempty boundary has a finite number of poor special spines. Moreover, all poor special spines of the manifold M have the same number of true vertices. We prove that the complexity of a compact hyperbolic 3-manifold with totally geodesic boundary that has a poor special spine with two 2-components and n true vertices is equal to n. Such manifolds are constructed for infinitely many values of n.",
author = "Vesnin, {A. Yu} and Turaev, {V. G.} and Fominykh, {E. A.}",
year = "2015",
month = jan,
day = "1",
doi = "10.1134/S0081543815010034",
language = "English",
volume = "288",
pages = "29--38",
journal = "Proceedings of the Steklov Institute of Mathematics",
issn = "0081-5438",
publisher = "МАИК {"}Наука/Интерпериодика{"}",
number = "1",

}

RIS

TY - JOUR

T1 - Three-dimensional manifolds with poor spines

AU - Vesnin, A. Yu

AU - Turaev, V. G.

AU - Fominykh, E. A.

PY - 2015/1/1

Y1 - 2015/1/1

N2 - A special spine of a 3-manifold is said to be poor if it does not contain proper simple subpolyhedra. Using the Turaev-Viro invariants, we establish that every compact 3-manifold M with connected nonempty boundary has a finite number of poor special spines. Moreover, all poor special spines of the manifold M have the same number of true vertices. We prove that the complexity of a compact hyperbolic 3-manifold with totally geodesic boundary that has a poor special spine with two 2-components and n true vertices is equal to n. Such manifolds are constructed for infinitely many values of n.

AB - A special spine of a 3-manifold is said to be poor if it does not contain proper simple subpolyhedra. Using the Turaev-Viro invariants, we establish that every compact 3-manifold M with connected nonempty boundary has a finite number of poor special spines. Moreover, all poor special spines of the manifold M have the same number of true vertices. We prove that the complexity of a compact hyperbolic 3-manifold with totally geodesic boundary that has a poor special spine with two 2-components and n true vertices is equal to n. Such manifolds are constructed for infinitely many values of n.

UR - http://www.scopus.com/inward/record.url?scp=84928739505&partnerID=8YFLogxK

U2 - 10.1134/S0081543815010034

DO - 10.1134/S0081543815010034

M3 - Article

AN - SCOPUS:84928739505

VL - 288

SP - 29

EP - 38

JO - Proceedings of the Steklov Institute of Mathematics

JF - Proceedings of the Steklov Institute of Mathematics

SN - 0081-5438

IS - 1

ER -

ID: 40113221