Complexity of virtual 3-manifolds Full article
| Journal |
Sbornik Mathematics
ISSN: 1064-5616 , E-ISSN: 1468-4802 |
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| Output data | Year: 2016, Volume: 207, Number: 11, Pages: 1493-1511 Pages count : 19 DOI: 10.1070/SM8700 | ||||||
| Tags | 3-manifolds; Complexity; Hyperbolic manifolds; Virtual manifolds | ||||||
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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.
Cite:
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
Complexity of virtual 3-manifolds
Sbornik Mathematics. 2016. V.207. N11. P.1493-1511. DOI: 10.1070/SM8700 WOS Scopus OpenAlex
Identifiers:
| Web of science: | WOS:000393619200001 |
| Scopus: | 2-s2.0-85011586027 |
| OpenAlex: | W2963816055 |