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Allen Hatcher
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#	Item
11	The Cyclic Cycle Complex of a Surface Allen Hatcher A recent paper [BBM] by Bestvina, Bux, and Margalit contains a construction of a cell complex that gives a combinatorial model for the collection of isotopy classes of Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2008-06-02 12:47:57 Algebraic topology Surgery theory Cobordism Differential topology Canonical form Span Simplex Tree Rope Topology Mathematics Abstract algebra
12	ERRATUM TO “STABILIZATION FOR THE AUTOMORPHISMS OF FREE GROUPS WITH BOUNDARIES” ALLEN HATCHER AND NATHALIE WAHL The purpose of this note is to point out a gap in an argument in our paper [4] and explain how to fill i Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2007-09-15 08:10:18 Algebraic topology CW complex Allen Hatcher Torus Isomorphism Topology Mathematics Homotopy theory
13	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
14	THE COMPLEX OF FREE FACTORS OF A FREE GROUP Allen Hatcher * and Karen Vogtmann* ABSTRACT. We show that the geometric realization of the partially ordered set of proper free factors in a finitely generated free group of r Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 1998-01-27 12:11:53 Algebraic topology Homotopy theory Topological spaces Geometric topology Building CW complex Triangulation Simplicial complex Simplex Topology Abstract algebra Mathematics
15	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
16	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
17	Stable Homology of Spaces of Graphs Allen Hatcher Banff November 29, 2012 Starting point : Galatius’ theorem, the analog of the Madsen-Weiss theorem for Aut(Fn ) : Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2012-12-05 20:21:28 Trapezoid graph Desargues graph Graph theory Graph Planar graphs
18	Pants Decompositions of Surfaces Allen Hatcher In studying the geometry and topology of surfaces it often happens that one considers a collection of disjointly embedded circles in a compact orientable surface Σ which de Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 1999-06-12 13:36:06 Permutation Support Measure theory Abstract algebra Combinatorics
19	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
20	Stable Homology by Scanning Variations on a Theorem of Galatius Talk at Luminy[removed]Allen Hatcher Question: What can one say about H∗ Aut(Fn ) ? Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2010-09-09 10:20:17 Planar graph Mapping class group Graph Graph theory Mathematics Minor

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