2026-06-08T03:46:39Zhttps://docta.ucm.es/rest/oai/requestoai:docta.ucm.es:20.500.14352/647012023-08-27T10:14:12Zcom_20.500.14352_14col_20.500.14352_15
Docta Complutense
author
Montesinos Amilibia, José María
2023-06-21T02:02:47Z
2023-06-21T02:02:47Z
1983-07
0305-0041
10.1017/S0305004100060941
https://hdl.handle.net/20.500.14352/64701
http://journals.cambridge.org/abstract_S0305004100060941
http://journals.cambridge.org/
The author shows that every compact connected oriented 3-manifold, after capping off boundary components by cones, is a covering of S3 branched over the 1-complex G which is "a pair of eyeglasses''. The author gives algorithms for passing between a Heegaard decomposition of a 3-manifold and this covering description. He also determines necessary and sufficient conditions for such a covering to have cone singularities. In a paper by W. Thurston ["Universal links'', Preprint], a link with similar properties (for closed 3-manifolds) to G is constructed.
eng
Representing 3-manifolds by a universal branching set
journal article
URL
https://docta.ucm.es/bitstreams/ada67ab6-48b6-499d-a863-3e31df9ef964/download
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Montesinos15.pdf
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text/plain
Montesinos15.pdf.txt