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Homotopy theory
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#	Item
671	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
672	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
673	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
674	Riemann Surfaces This course on Riemann surfaces assumes that the reader is familiar with sheaf theory. 1 Add to Reading List Source URL: www.math.rug.nl Language: English - Date: 2004-04-19 07:18:04 Algebraic topology Modular forms Homotopy theory Riemann surfaces Group theory Covering space Modular curve Fuchsian group Valuation Abstract algebra Mathematics Topology
675	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
676	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
677	1295 ISSN[removed]on line[removed]printed) Geometry & Topology Volume[removed]–1336 Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2007-09-15 08:10:11 Algebraic topology Geometric topology Geometric group theory Homeomorphisms Mapping class group Homotopy group Diffeomorphism Homotopy Torus Topology Homotopy theory Abstract algebra
678	1 ISSN numbers are printed here Algebraic & Geometric Topology Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2006-03-22 09:21:54 Algebraic topology Geometric group theory Homology theory Homotopy theory Simplex Karen Vogtmann Out CW complex Homology Topology Abstract algebra Mathematics
679	CONFIGURATION SPACES OF RINGS AND WICKETS TARA E. BRENDLE AND ALLEN HATCHER Abstract. The main result in this paper is that the space of all smooth links in R3 isotopic to the trivial link of n components has the same ho Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2012-12-23 20:06:08 Maps of manifolds General topology Link Homotopy Covering space Torus Connected space Configuration space Knot theory Topology Algebraic topology Manifolds
680	A PRIMER ON SPECTRAL SEQUENCES Contents 1. Definitions 2. Exact Couples 3. Filtered Complexes Add to Reading List Source URL: www.math.uchicago.edu Language: English - Date: 2009-06-01 11:51:40 Algebra Spectral sequences Homological algebra Homotopy theory Group theory Serre spectral sequence Sheaf Bockstein spectral sequence Exact sequence Abstract algebra Topology Algebraic topology

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