Degree one maps between small 3–manifolds and Heegaard genus

We prove a rigidity theorem for degree one maps between small 3–manifolds using Heegaard genus, and provide some applications and connections to Heegaard genus and Dehn surgery problems.

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Keywords

degree one map, small 3–manifold, Heegaard genus

Mathematical Subject Classification 2000

Primary: 57M50, 57N10

References

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Publication

Received: 20 July 2005

Accepted: 2 September 2005

Published: 17 October 2005

Authors

Michel Boileau
Laboratoire Émile Picard CNRS UMR 5580 Université Paul Sabatier 118 Route de Narbonne F-31062 Toulouse Cedex 4 France

Shicheng Wang
LAMA Department of Mathematics Peking University Beijing 100871 China

Volume 5, issue 4 (2005)

Michel Boileau and Shicheng Wang

Abstract