Representing 3-manifolds by a universal branching set



Downloads per month over past year

Montesinos Amilibia, José María (1983) Representing 3-manifolds by a universal branching set. Mathematical Proceedings of the Cambridge Philosophical Society, 94 (1). pp. 109-123. ISSN 0305-0041

[thumbnail of Montesinos15.pdf] PDF
Restringido a Repository staff only


Official URL:


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.

Item Type:Article
Uncontrolled Keywords:branched coverings of the 3-sphere; finite presentation of fundamental group; compact, connected, oriented 3-manifold without 2-spheres in the boundary; singular 3-manifold; Heegaard diagram
Subjects:Sciences > Mathematics > Topology
ID Code:17198
Deposited On:26 Nov 2012 09:14
Last Modified:12 Dec 2018 15:14

Origin of downloads

Repository Staff Only: item control page