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Spring Topology and Dynamical Systems Conference
March 15-17, 2001
Centro de Convenciones
Morelia City, Michoacán, Mexico

Organizers
Alejandro Illanes, Sergio Macías, Jesus Muciño, María Luisa Pérez

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Coverings of torus knots
by
Víctor Núñez
CIMAT
Coauthors: Enrique Ramírez-Losada

It is known that if j:M --> S3 is a branched covering branched along the p, q-torus knot, then M is a Seifert manifold with orientable base and non-zero Euler number. We prove a converse of this fact: If M is an orientable Seifert manifold with orientable base and non-zero Euler number, then M is a branched covering of the 3-sphere with branching in the p, q-torus knot for any p, q, (p, q)=1, and 1 < p < q.

Date received: February 8, 2001

Copyright © 2001 by the author(s). The author(s) of this document and the organizers of the conference have granted their consent to include this abstract in Atlas Conferences Inc. Document # cagh-54.