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The Algebraic Characterization of Geometric 4-Manifolds by J. A. Hillman, Jonathan A. Hillman

The Algebraic Characterization of Geometric 4-Manifolds

by J. A. Hillman , Jonathan A. Hillman
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Book cover type: Paperback
  • ISBN13: 9780521467780
  • Binding: Paperback
  • Subject: N/A
  • Publisher: Cambridge University Press
  • Publisher Imprint: Cambridge University Press
  • Publication Date:
  • Pages: 184
  • Original Price: USD 67.0
  • Language: English
  • Edition: N/A
  • Item Weight: 227 grams
  • BISAC Subject(s): Geometry / General

This book describes work 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.

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