Hatcher

Results: 311



#Item
271Algebraic topology / Homotopy theory / Topological spaces / Geometric topology / Building / CW complex / Triangulation / Simplicial complex / Simplex / Topology / Abstract algebra / Mathematics

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

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Source URL: www.math.cornell.edu

Language: English - Date: 1998-01-27 12:11:53
272Differential topology / 3-manifolds / Diffeomorphism / Haken manifold / Mapping class group / Dehn twist / Orientability / Homotopy / Classification of manifolds / Topology / Geometric topology / Homeomorphisms

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

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Source URL: www.math.cornell.edu

Language: English - Date: 1998-01-12 12:52:48
273Algebraic topology / 3-manifolds / Homeomorphisms / Haken manifold / Diffeomorphism / Torus / Mapping class group / Fiber bundle / Homotopy group / Topology / Homotopy theory / Geometric topology

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

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Source URL: www.math.cornell.edu

Language: English - Date: 1999-06-11 14:52:31
274Trapezoid graph / Desargues graph / Graph theory / Graph / Planar graphs

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 ) :

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Source URL: www.math.cornell.edu

Language: English - Date: 2012-12-05 20:21:28
275Permutation / Support / Measure theory / Abstract algebra / Combinatorics

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

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Source URL: www.math.cornell.edu

Language: English - Date: 1999-06-12 13:36:06
276Homeomorphisms / Dehn twist / Mapping class group / Curve / Cubic function / Degree of a continuous mapping / Topology / Mathematics / Geometric topology

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

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Source URL: www.math.cornell.edu

Language: English - Date: 2012-07-18 10:45:04
277Planar graph / Mapping class group / Graph / Graph theory / Mathematics / Minor

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 ) ?

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Source URL: www.math.cornell.edu

Language: English - Date: 2010-09-09 10:20:17
278Differential topology / Geometric topology / Topological spaces / Homotopy group / CW complex / Homotopy / Diffeomorphism / Surgery theory / Euler characteristic / Topology / Homotopy theory / Algebraic topology

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

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Source URL: www.math.cornell.edu

Language: English - Date: 2008-08-12 20:04:07
279Geometric topology / Homotopy theory / Mapping class group / Diffeomorphism / Orientability / Manifold / Thom space / Homotopy group / Homotopy / Topology / Differential topology / Algebraic topology

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

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Source URL: www.math.cornell.edu

Language: English - Date: 2014-02-12 10:55:42
280Space / Incompressible surface / Train track / Foliation / Differentiable manifold / Geodesic / Incompressible flow / Topology / 3-manifolds / Geometric topology

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

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Source URL: www.math.cornell.edu

Language: English - Date: 1999-08-05 16:10:12
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