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Geometric topology
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#	Item
511	GENERATING THE TORELLI GROUP ALLEN HATCHER AND DAN MARGALIT Abstract. We give a new proof of the theorem of Birman–Powell that the Torelli subgroup of the mapping class group of a closed orientable surface of genus at Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2012-07-18 10:45:04 Homeomorphisms Dehn twist Mapping class group Curve Cubic function Degree of a continuous mapping Topology Mathematics Geometric topology
512	Diffeomorphism Groups of Reducible 3-Manifolds Allen Hatcher In a 1979 announcement by C´esar de S´a and Rourke [CR] there is a sketch of an intuitively appealing approach to measuring the difference between the homoto Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2008-08-12 20:04:07 Differential topology Geometric topology Topological spaces Homotopy group CW complex Homotopy Diffeomorphism Surgery theory Euler characteristic Topology Homotopy theory Algebraic topology
513	A Short Exposition of the Madsen-Weiss Theorem Allen Hatcher The theorem of Madsen and Weiss [MW] identifies the homology of mapping class groups of surfaces, in a stable dimension range, with the homology of a certain i Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2014-02-12 10:55:42 Geometric topology Homotopy theory Mapping class group Diffeomorphism Orientability Manifold Thom space Homotopy group Homotopy Topology Differential topology Algebraic topology
514	Measured Lamination Spaces for 3-Manifolds Allen Hatcher One of Thurston’s important contributions to surface theory is his construction of measured lamination spaces. These spaces originally arose because their projec Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 1999-08-05 16:10:12 Space Incompressible surface Train track Foliation Differentiable manifold Geodesic Incompressible flow Topology 3-manifolds Geometric topology
515	RATIONAL HOMOLOGY OF AUT(Fn ) Allen Hatcher * and Karen Vogtmann* ABSTRACT. We compute the rational homology in dimensions less than seven of the group of automorphisms of a finitely generated free group of arbitrary ran Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 1998-12-23 10:36:42 Geometric topology Algebraic topology Homotopy theory Fundamental group Entailment Mapping class group Curry–Howard correspondence Karen Vogtmann Train track map Topology Mathematics Abstract algebra
516	A 50 -Year View of Diffeomorphism Groups Allen Hatcher Question: For a smooth compact manifold M can one determine the homotopy type of its diffeomorphism group Diff(M) ? Why this is interesting: Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2012-05-07 08:19:51 Differential topology Algebraic topology Geometric topology Diffeomorphism Diff Cobordism H-cobordism Mapping class group Characteristic class Topology Surgery theory Abstract algebra
517	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 Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2004-05-08 13:52:01 Haken manifold Geometrization conjecture Dehn surgery Seifert fiber space Manifold Prime decomposition Allen Hatcher Orientability Topological manifold Topology 3-manifolds Geometric topology
518	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. Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2004-05-09 04:18:43 Haken manifold Seifert fiber space Prime decomposition Manifold decomposition Manifold Dehn surgery Topological manifold Orientability Geometrization conjecture Topology 3-manifolds Geometric topology
519	Triangulations of Surfaces Allen Hatcher This is a slightly revised and expanded version of a paper published in 1991 with a very similar title. This paper uses an elementary surgery technique to give a simple topologica Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2013-12-06 15:53:38 Algebraic topology Triangulation Geometric topology Polytopes Simplex Graph Simplicial complex Euler characteristic Triangle Topology Mathematics Geometry
520	On the Diffeomorphism Group of S1 × S2 Allen Hatcher This is a revision, written in December 2003, of a paper of the same title that appeared in the Proceedings of the AMS[removed]), [removed]. Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2009-06-01 09:18:44 Geometric topology Maps of manifolds Differential topology Algebraic topology Homotopy Diffeomorphism Connected sum Isotopy CW complex Topology Abstract algebra Homotopy theory

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