Complexity of virtual 3-manifolds | Sciact - Система учета научной деятельности ИМ СО РАН

Complexity of virtual 3-manifolds Научная публикация

Журнал

Sbornik Mathematics
ISSN: 1064-5616 , E-ISSN: 1468-4802

Вых. Данные

Год: 2016, Том: 207, Номер: 11, Страницы: 1493-1511 Страниц : 19 DOI: 10.1070/SM8700

Ключевые слова

3-manifolds; Complexity; Hyperbolic manifolds; Virtual manifolds

Авторы

Веснин Андрей Юрьевич ¹ , Turaev V.G. ² , Fominykh E.A. ³

Организации

1	Sobolev Institute of Mathematics
2	Indiana University
3	Chelyabinsk State University

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.

Vesnin A.Y. , Turaev V.G. , Fominykh E.A.
Complexity of virtual 3-manifolds
Sbornik Mathematics. 2016. V.207. N11. P.1493-1511. DOI: 10.1070/SM8700 WOS Scopus OpenAlex

Web of science:	WOS:000393619200001
Scopus:	2-s2.0-85011586027
OpenAlex:	W2963816055

БД	Цитирований
Scopus	2
OpenAlex	4
Web of science	4