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A complete description of normal surfaces for infinite series of 3-manifolds. / Fominykh, E. A.

In: Siberian Mathematical Journal, Vol. 43, No. 6, 01.12.2002, p. 1112-1123.

Research output: Contribution to journal › Article › peer-review

Harvard

Fominykh, EA 2002, 'A complete description of normal surfaces for infinite series of 3-manifolds', Siberian Mathematical Journal, vol. 43, no. 6, pp. 1112-1123. https://doi.org/10.1023/A:1021181720737

APA

Fominykh, E. A. (2002). A complete description of normal surfaces for infinite series of 3-manifolds. Siberian Mathematical Journal, 43(6), 1112-1123. https://doi.org/10.1023/A:1021181720737

Vancouver

Fominykh EA. A complete description of normal surfaces for infinite series of 3-manifolds. Siberian Mathematical Journal. 2002 Dec 1;43(6):1112-1123. https://doi.org/10.1023/A:1021181720737

Author

Fominykh, E. A. / A complete description of normal surfaces for infinite series of 3-manifolds. In: Siberian Mathematical Journal. 2002 ; Vol. 43, No. 6. pp. 1112-1123.

BibTeX

@article{15d6a217f82e444cb3a6d30d7cd306a2,
title = "A complete description of normal surfaces for infinite series of 3-manifolds",
abstract = "The set of all normal surfaces in a 3-manifold is a partial monoid under addition with a minimal generating set of fundamental surfaces. The available algorithm for finding the system of fundamental surfaces is of a theoretical nature and admits no implementation in practice. In this article, we give a complete and geometrically simple description for the structure of partial monoids for normal surfaces in lens spaces, generalized quaternion spaces, and Stallings manifolds with fiber a punctured torus and a hyperbolic monodromy map.",
keywords = "Generalized quaternion space, Lens space, Normal surface, Stallings manifold",
author = "Fominykh, {E. A.}",
year = "2002",
month = dec,
day = "1",
doi = "10.1023/A:1021181720737",
language = "English",
volume = "43",
pages = "1112--1123",
journal = "Siberian Mathematical Journal",
issn = "0037-4466",
publisher = "Springer Nature",
number = "6",

}

RIS

TY - JOUR

T1 - A complete description of normal surfaces for infinite series of 3-manifolds

AU - Fominykh, E. A.

PY - 2002/12/1

Y1 - 2002/12/1

N2 - The set of all normal surfaces in a 3-manifold is a partial monoid under addition with a minimal generating set of fundamental surfaces. The available algorithm for finding the system of fundamental surfaces is of a theoretical nature and admits no implementation in practice. In this article, we give a complete and geometrically simple description for the structure of partial monoids for normal surfaces in lens spaces, generalized quaternion spaces, and Stallings manifolds with fiber a punctured torus and a hyperbolic monodromy map.

AB - The set of all normal surfaces in a 3-manifold is a partial monoid under addition with a minimal generating set of fundamental surfaces. The available algorithm for finding the system of fundamental surfaces is of a theoretical nature and admits no implementation in practice. In this article, we give a complete and geometrically simple description for the structure of partial monoids for normal surfaces in lens spaces, generalized quaternion spaces, and Stallings manifolds with fiber a punctured torus and a hyperbolic monodromy map.

KW - Generalized quaternion space

KW - Lens space

KW - Normal surface

KW - Stallings manifold

UR - http://www.scopus.com/inward/record.url?scp=0036437101&partnerID=8YFLogxK

U2 - 10.1023/A:1021181720737

DO - 10.1023/A:1021181720737

M3 - Article

AN - SCOPUS:0036437101

VL - 43

SP - 1112

EP - 1123

JO - Siberian Mathematical Journal

JF - Siberian Mathematical Journal

SN - 0037-4466

IS - 6

ER -

ID: 40113943