Geodesic
Short geodesics in hyperbolic 3–manifolds
Breslin, William1
1Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor MI 48109-1043, USA
Algebraic and Geometric Topology, Tome 11 (2011) no. 2, pp. 735-745
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For each g ≥ 2, we prove existence of a computable constant ϵ(g) > 0 such that if S is a strongly irreducible Heegaard surface of genus g in a complete hyperbolic 3–manifold M and γ is a simple geodesic of length less than ϵ(g) in M, then γ is isotopic into S.

DOI : 10.2140/agt.2011.11.735
Keywords: Heegaard surface, hyperbolic $3$–manifold, geodesic

Breslin, William  1

1 Department of Mathematics, University of Michigan, 530 Church Street, Ann Arbor MI 48109-1043, USA 
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Breslin, William. Short geodesics in hyperbolic 3–manifolds. Algebraic and Geometric Topology, Tome 11 (2011) no. 2, pp. 735-745. doi: 10.2140/agt.2011.11.735

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