Geodesic
Quasi-convexity and shrinkwrapping
Namazi, Hossein1
1Department of Mathematics, University of Texas at Austin, 1 University Station C1200, Austin, TX 78712
Algebraic and Geometric Topology, Tome 9 (2009) no. 4, pp. 2443-2478
Cet article a éte moissonné depuis la source Mathematical Sciences Publishers

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We extend a result of Minsky to show that, for a map of a surface to a hyperbolic 3–manifold, which is 2–incompressible rel a geodesic link with a definite tube radius, the set of noncontractible simple loops with bounded length representatives is quasi-convex in the complex of curves of the surface. We also show how wide product regions can be used to find a geodesic link with a definite tube radius with respect to which a map is 2–incompressible.

DOI : 10.2140/agt.2009.9.2443
Keywords: complex of curves, quasi-convexity, shrinkwrapping

Namazi, Hossein  1

1 Department of Mathematics, University of Texas at Austin, 1 University Station C1200, Austin, TX 78712 
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Namazi, Hossein. Quasi-convexity and shrinkwrapping. Algebraic and Geometric Topology, Tome 9 (2009) no. 4, pp. 2443-2478. doi: 10.2140/agt.2009.9.2443

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