2026-06-08T05:59:22Zhttps://docta.ucm.es/rest/oai/request

oai:docta.ucm.es:20.500.14352/647012023-08-27T10:14:12Zcom_20.500.14352_14col_20.500.14352_15

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 restricted access Representing 3-manifolds by a universal branching set journal article