Allen Hatcher Copyright c 2002 by Cambridge University Press Single paper or electronic copies for noncommercial use may be made freely without explicit permission from the author or publisher. All other rights reserved

Source URL: www.math.ru.nl

ASSEMBLING HOMOLOGY CLASSES IN AUTOMORPHISM GROUPS OF FREE GROUPS JAMES CONANT, ALLEN HATCHER, MARTIN KASSABOV, AND KAREN VOGTMANN Abstract. The observation that a graph of rank n can be assembled from graphs of smaller

Source URL: www.math.cornell.edu

• Algebraic topology
• Homotopy theory
• Homotopy group
• Mapping class group
• Homology
• Cohomology
• Serre spectral sequence
• Assembly map
• Spectral sequence
• Abstract algebra
• Topology
• Algebra

Nathalie Wahl Dept. of Mathematics University of Copenhagen Universitetsparken 5 DK-2100 Copenhagen, Denmark

Source URL: www.math.ku.dk

• Algebraic topology
• Mapping class group
• Homology
• Allen Hatcher
• Stable map
• Manifold
• String topology
• Karen Vogtmann
• Frank Quinn
• Topology
• Geometric topology
• Mathematics

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

Source URL: www.math.ku.dk

• Algebraic topology
• CW complex
• Mapping class group
• Allen Hatcher
• Torus
• Topology
• Homotopy theory
• Geometric topology

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

Source URL: www.math.ku.dk

• Geometric topology
• 3-manifolds
• Differential topology
• Fiber bundles
• Group theory
• Diffeomorphism
• Mapping class group
• Geometrization conjecture
• Manifold
• Topology
• Abstract algebra
• Mathematics

Grain Inspection, Packers and Stockyards Administration STOP[removed]Independence Ave., SW Washington, D.C[removed]

Source URL: www.gipsa.usda.gov

• Allen Hatcher
• Law
• Government
• Agriculture
• Grain Inspection
• Packers and Stockyards Administration
• Packers and Stockyards Act
• United States Department of Agriculture

More Exercises for Algebraic Topology by Allen Hatcher Chapter[removed]Given a map f : X →Y , show that there exists a map g : Y →X with gf ≃ 11 iff X is a retract of the mapping cylinder Mf[removed]a) Suppose a CW co

Source URL: www.math.cornell.edu

• Mathematics
• Homotopy theory
• CW complex
• Fundamental group
• Homotopy group
• Mayer–Vietoris sequence
• Homotopy
• Singular homology
• Covering space
• Topology
• Abstract algebra
• Algebraic topology

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.

Source URL: www.math.cornell.edu

• Surfaces
• Geometric topology
• 3-manifolds
• Algebraic topology
• Allen Hatcher
• Incompressible surface
• Torus
• Genus
• Curve
• Topology
• Geometry
• Space

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

Source URL: www.math.cornell.edu

• Geometric topology
• Differential topology
• Conjectures
• Homotopy
• Torus
• Connected sum
• Trefoil knot
• Diffeomorphism
• Knot
• Topology
• Knot theory
• 3-manifolds

CERF THEORY FOR GRAPHS Allen Hatcher and Karen Vogtmann ABSTRACT. We develop a deformation theory for k-parameter families of pointed marked graphs with fixed fundamental group Fn . Applications include a simple geometri

Source URL: www.math.cornell.edu

• Algebraic topology
• Geometric topology
• Fundamental group
• Homotopy theory
• Simplex
• Graph
• Karen Vogtmann
• Neighbourhood
• Triangulation
• Mathematics
• Topology
• Graph theory