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Collected Papers of John Milnor, Volume II: The Fundamental Group

Publisher: 
American Mathematical Society
Number of Pages: 
304
Price: 
65.00
ISBN: 
9780821848753
Date Received: 
Wednesday, September 9, 2009
Reviewable: 
Include In BLL Rating: 
Reviewer Email Address: 
John Milnor
Publication Date: 
2009
Format: 
Hardcover
Category: 
Collection

Part 1: Knot theory

  • Introduction to Knot theory
  • Link groups
  • Isotopy of links
  • Most knots are wild
  • (with R. H. Fox), Singularities of 2-spheres in 4-space and cobordism of knots
  • Infinite cyclic coverings

Part 2: Free actions on spheres

  • Introduction to: free actions
  • Groups which act on $S^n$ without fixed points
  • (with M. W. Hirsch), Some curious involutions of spheres
  • Some free actions of cyclic groups on spheres

Part 3: Torsion

  • Introduction to torsion
  • Two complexes which are homeomorphic but combinatorially distinct
  • A duality theorem for Reidemeister torsion
  • Whitehead torsion
  • Uses of the fundamental group
  • (with O. Burlet), Torsion et type simple d'homotopie

Part 4: Three-dimensional manifolds

  • Introduction to 3-manifolds
  • A unique decomposition theorem for 3-manifolds
  • On the 3-dimensional Brieskorn manifolds $M(p,q, r)$
  • (with W. Thurston), Characteristic numbers of 3-manifolds
Publish Book: 
Modify Date: 
Friday, November 6, 2009

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