Geodesic
Degree one maps between small 3–manifolds and Heegaard genus
Boileau, Michel1 ; Wang, Shicheng2
1Laboratoire Émile Picard, CNRS UMR 5580, Université Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse Cedex 4, France
2LAMA Department of Mathematics, Peking University, Beijing 100871, China
Algebraic and Geometric Topology, Tome 5 (2005) no. 4, pp. 1433-1450
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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.

DOI : 10.2140/agt.2005.5.1433
Keywords: degree one map, small 3–manifold, Heegaard genus

Boileau, Michel  1   ; Wang, Shicheng  2

1 Laboratoire Émile Picard, CNRS UMR 5580, Université Paul Sabatier, 118 Route de Narbonne, F-31062 Toulouse Cedex 4, France
2 LAMA Department of Mathematics, Peking University, Beijing 100871, China 
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Boileau, Michel; Wang, Shicheng. Degree one maps between small 3–manifolds and Heegaard genus. Algebraic and Geometric Topology, Tome 5 (2005) no. 4, pp. 1433-1450. doi: 10.2140/agt.2005.5.1433

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