LMS: 198 Algebraic Character 4-Man

LMS: 198 Algebraic Character 4-Man book cover

LMS: 198 Algebraic Character 4-Man

Author(s): J. A. Hillman (Author)

  • Publisher: Cambridge University Press
  • Publication Date: 21 Aug. 2008
  • Edition: 1st
  • Language: English
  • Print length: 184 pages
  • ISBN-10: 0521467780
  • ISBN-13: 9780521467780

Book Description

This book describes work, largely that of the author, on the characterization of closed 4-manifolds in terms of familiar invariants such as Euler characteristic, fundamental group, and Stiefel–Whitney classes. Using techniques from homological group theory, the theory of 3-manifolds and topological surgery, infrasolvmanifolds are characterized up to homeomorphism, and surface bundles are characterized up to simple homotopy equivalence. Non-orientable cases are also considered wherever possible, and in the final chapter the results obtained earlier are applied to 2-knots and complex analytic surfaces. This book is essential reading for anyone interested in low-dimensional topology.

Editorial Reviews

Book Description

This book is essential reading for anyone interested in low-dimensional topology.

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