Algebraic and Geometric Topology 5 (2005), paper no. 56, pages 1433-1450.

Degree one maps between small 3-manifolds and Heegaard genus

Michel Boileau, Shicheng Wang

Abstract. 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.

Keywords. Degree one map, small 3-manifold, Heegaard genus

AMS subject classification. Primary: 57M50, 57N10.

E-print: arXiv:math.GT/0402121

DOI: 10.2140/agt.2005.5.1433

Submitted: 20 July 2005. Accepted: 2 September 2005. Published: 17 October 2005.

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Michel Boileau, Shicheng Wang
Laboratoire Emile Picard, CNRS UMR 5580, Universite Paul Sabatier
118 Route de Narbonne, F-31062 TOULOUSE Cedex 4, France
LAMA Department of Mathematics
Peking University, Beijing 100871, China

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