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Complexity of virtual 3-manifolds. / Vesnin, A. Yu; Turaev, V. G.; Fominykh, E. A.

в: Sbornik Mathematics, Том 207, № 11, 01.01.2016, стр. 1493-1511.

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

Harvard

Vesnin, AY, Turaev, VG & Fominykh, EA 2016, 'Complexity of virtual 3-manifolds', Sbornik Mathematics, Том. 207, № 11, стр. 1493-1511. https://doi.org/10.1070/SM8700

APA

Vesnin, A. Y., Turaev, V. G., & Fominykh, E. A. (2016). Complexity of virtual 3-manifolds. Sbornik Mathematics, 207(11), 1493-1511. https://doi.org/10.1070/SM8700

Vancouver

Vesnin AY, Turaev VG, Fominykh EA. Complexity of virtual 3-manifolds. Sbornik Mathematics. 2016 Янв. 1;207(11):1493-1511. https://doi.org/10.1070/SM8700

Author

Vesnin, A. Yu ; Turaev, V. G. ; Fominykh, E. A. / Complexity of virtual 3-manifolds. в: Sbornik Mathematics. 2016 ; Том 207, № 11. стр. 1493-1511.

BibTeX

@article{56af5c5abd0f48e985a90d0af0f0d2d1,
title = "Complexity of virtual 3-manifolds",
abstract = "Virtual 3-manifolds were introduced by Matveev in 2009 as natural generalizations of classical 3-manifolds. In this paper, we introduce a notion of complexity for a virtual 3-manifold. We investigate the values of the complexity for virtual 3-manifolds presented by special polyhedra with one or two 2-components. On the basis of these results, we establish the exact values of the complexity for a wide class of hyperbolic 3-manifolds with totally geodesic boundary.",
keywords = "3-manifolds, Complexity, Hyperbolic manifolds, Virtual manifolds",
author = "Vesnin, {A. Yu} and Turaev, {V. G.} and Fominykh, {E. A.}",
year = "2016",
month = jan,
day = "1",
doi = "10.1070/SM8700",
language = "English",
volume = "207",
pages = "1493--1511",
journal = "Sbornik Mathematics",
issn = "1064-5616",
publisher = "Turpion Ltd.",
number = "11",

}

RIS

TY - JOUR

T1 - Complexity of virtual 3-manifolds

AU - Vesnin, A. Yu

AU - Turaev, V. G.

AU - Fominykh, E. A.

PY - 2016/1/1

Y1 - 2016/1/1

N2 - Virtual 3-manifolds were introduced by Matveev in 2009 as natural generalizations of classical 3-manifolds. In this paper, we introduce a notion of complexity for a virtual 3-manifold. We investigate the values of the complexity for virtual 3-manifolds presented by special polyhedra with one or two 2-components. On the basis of these results, we establish the exact values of the complexity for a wide class of hyperbolic 3-manifolds with totally geodesic boundary.

AB - Virtual 3-manifolds were introduced by Matveev in 2009 as natural generalizations of classical 3-manifolds. In this paper, we introduce a notion of complexity for a virtual 3-manifold. We investigate the values of the complexity for virtual 3-manifolds presented by special polyhedra with one or two 2-components. On the basis of these results, we establish the exact values of the complexity for a wide class of hyperbolic 3-manifolds with totally geodesic boundary.

KW - 3-manifolds

KW - Complexity

KW - Hyperbolic manifolds

KW - Virtual manifolds

UR - http://www.scopus.com/inward/record.url?scp=85011586027&partnerID=8YFLogxK

U2 - 10.1070/SM8700

DO - 10.1070/SM8700

M3 - Article

AN - SCOPUS:85011586027

VL - 207

SP - 1493

EP - 1511

JO - Sbornik Mathematics

JF - Sbornik Mathematics

SN - 1064-5616

IS - 11

ER -

ID: 40112950