Universität zu Köln

Geiges, Hansjoerg and Lange, Christian (2018). Seifert fibrations of lens spaces. Abh. Math. Semin. Univ. Hamburg, 88 (1). S. 1 - 23. HEIDELBERG: SPRINGER HEIDELBERG. ISSN 1865-8784

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Abstract

We classify the Seifert fibrations of any given lens space L(p, q). Starting from any pair of coprime non-zero integers , we give an algorithmic construction of a Seifert fibration , where the natural number is determined by the algorithm. This algorithm produces all possible Seifert fibrations, and the isomorphisms between the resulting Seifert fibrations are described completely. Also, we show that all Seifert fibrations are isomorphic to certain standard models.

Item Type:	Journal Article
Creators:	Creators Email ORCID ORCID Put Code Geiges, Hansjoerg UNSPECIFIED UNSPECIFIED UNSPECIFIED Lange, Christian UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-191005
DOI:	10.1007/s12188-017-0188-z
Journal or Publication Title:	Abh. Math. Semin. Univ. Hamburg
Volume:	88
Number:	1
Page Range:	S. 1 - 23
Date:	2018
Publisher:	SPRINGER HEIDELBERG
Place of Publication:	HEIDELBERG
ISSN:	1865-8784
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language 3-MANIFOLDS Multiple languages Mathematics Multiple languages
Refereed:	Yes
URI:	http://kups.ub.uni-koeln.de/id/eprint/19100