Dehn surgery

Results: 16



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11Differential topology / Riemann surfaces / 3-manifolds / Orbifold / Möbius transformation / Hyperbolic Dehn surgery / Holonomy / Hyperbolic manifold / Geometry / Topology / Hyperbolic geometry

DUKE MATHEMATICAL JOURNAL c 2002 Vol. 114, No. 1, LOCAL RIGIDITY OF HYPERBOLIC 3-MANIFOLDS AFTER DEHN SURGERY

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Source URL: borel.slu.edu

Language: English - Date: 2005-10-25 21:01:42
12Haken manifold / Geometrization conjecture / Dehn surgery / Seifert fiber space / Manifold / Prime decomposition / Allen Hatcher / Orientability / Topological manifold / Topology / 3-manifolds / Geometric topology

homotopy sphere. The Poincar´ e conjecture asserts that S 3 is the only such manifold. (It seems that Poincar´ e himself did not explicitly formulate this as a conjecture.) As we shall see shortly, in the nonsimply-con

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Source URL: www.math.cornell.edu

Language: English - Date: 2004-05-08 13:52:01
13Haken manifold / Seifert fiber space / Prime decomposition / Manifold decomposition / Manifold / Dehn surgery / Topological manifold / Orientability / Geometrization conjecture / Topology / 3-manifolds / Geometric topology

The Classification Problem for 3-Manifolds Program from ca. 1980: 1. Canonical decomposition into simpler pieces. 2. Explicit classification of special types of pieces. 3. Generic pieces are hyperbolic manifolds.

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Source URL: www.math.cornell.edu

Language: English - Date: 2004-05-09 04:18:43
14Mathematics / Dehn surgery / Surgery theory / Hyperbolic link / Orbifold / Topology / 3-manifolds / Geometric topology

NON-INTEGRAL TOROIDAL DEHN SURGERIES C. MCA. GORDON1 AND JOHN LUECKE2 1. Introduction If we perform a non-trivial Dehn surgery on a hyperbolic knot in the 3-sphere, the result is usually a hyperbolic 3-manifold. However,

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Source URL: www.ma.utexas.edu

Language: English - Date: 2003-04-02 09:37:25
15Geometrization conjecture / Hyperbolic link / Dehn surgery / Topology / 3-manifolds / Geometric topology

Preliminaries and the Montesinos trick The classification theorems and a proof Final thoughts and conjectures Seifert fibered surgery on Montesinos knots Jeffrey Meier

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Source URL: www.ma.utexas.edu

Language: English - Date: 2013-06-27 05:19:53
16Homology theory / Symplectic topology / Floer homology / Heegaard splitting / Manifold / Surgery theory / Dehn surgery / Knot polynomial / Khovanov homology / Topology / 3-manifolds / Geometric topology

Heegaard Floer theory Dehn surgery Cosmetic surgeries

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Source URL: www.math.uga.edu

Language: English - Date: 2009-05-29 07:44:03
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