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#	Item
821	Boundary Curves of Incompressible Surfaces Allen Hatcher This is a Tex version, made in 2004, of a paper that appeared in Pac. J. Math[removed]), [removed], with some revisions in the exposition. Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2004-06-26 10:30:22 Surfaces Geometric topology 3-manifolds Algebraic topology Allen Hatcher Incompressible surface Torus Genus Curve Topology Geometry Space
822	Topological Moduli Spaces of Knots Allen Hatcher Classical knot theory is concerned with isotopy classes of knots in the 3 sphere, in other words, path-components of the space K of all smooth submanifolds of S 3 diffeomo Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2002-10-19 13:14:09 Geometric topology Differential topology Conjectures Homotopy Torus Connected sum Trefoil knot Diffeomorphism Knot Topology Knot theory 3-manifolds
823	STABILIZATION FOR MAPPING CLASS GROUPS OF 3-MANIFOLDS ALLEN HATCHER AND NATHALIE WAHL Abstract. We prove that the homology of the mapping class group of any 3manifold stabilizes under connected sum and boundary connected Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2009-10-23 08:35:47 Geometric topology 3-manifolds Differential topology Fiber bundles Group theory Diffeomorphism Mapping class group Geometrization conjecture Manifold Topology Abstract algebra Mathematics
824	Finiteness of Classifying Spaces of Relative Diffeomorphism Groups of 3-Manifolds Allen Hatcher Darryl McCullough Department of Mathematics, Cornell University, Ithaca, NY 14853, USA Department of Mathematics, University Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 1998-01-12 12:52:48 Differential topology 3-manifolds Diffeomorphism Haken manifold Mapping class group Dehn twist Orientability Homotopy Classification of manifolds Topology Geometric topology Homeomorphisms
825	Spaces of Incompressible Surfaces Allen Hatcher The homotopy type of the space of PL homeomorphisms of a Haken 3 manifold was computed in [H1], and with the subsequent proof of the Smale conjecture in [H2], the computati Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 1999-06-11 14:52:31 Algebraic topology 3-manifolds Homeomorphisms Haken manifold Diffeomorphism Torus Mapping class group Fiber bundle Homotopy group Topology Homotopy theory Geometric topology
826	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
827	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
828	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
829	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
830	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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