{
"item_title" : "The Algebraic Characterization of Geometric 4-Manifolds",
"item_author" : [" J. A. Hillman", "Jonathan A. Hillman "],
"item_description" : "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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Overview
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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Details
- ISBN-13: 9780521467780
- ISBN-10: 0521467780
- Publisher: Cambridge University Press
- Publish Date: February 1994
- Dimensions: 8.95 x 6 x 0.43 inches
- Shipping Weight: 0.5 pounds
- Page Count: 184
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