New aspects of complexity theory for 3-manifolds | Sciact - Система учета научной деятельности ИМ СО РАН

New aspects of complexity theory for 3-manifolds Научная публикация

Журнал

Russian Mathematical Surveys
ISSN: 0036-0279 , E-ISSN: 1468-4829

Вых. Данные

Год: 2018, Том: 73, Номер: 4, Страницы: 615-660 Страниц : 46 DOI: 10.1070/RM9829

Ключевые слова

3-manifolds; Matveev complexity; spines; tetrahedral complexity; triangulations

Авторы

Vesnin A.Y. ^1,2 , Matveev S.V. ^3,4 , Fominykh E.A. ^3,4

Организации

1	Tomsk State University
2	Sobolev Institute of Mathematics
3	Chelyabinsk State University
4	Krasovsky Institute of Mathematics and Mechanics

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.

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

Web of science:	WOS:000448388200002
Scopus:	2-s2.0-85055805397
OpenAlex:	W2890124241

БД	Цитирований
Scopus	1
OpenAlex	1