The Algebraic Characterization of Geometric 4-Manifolds / J. A. Hillman.
Material type:
TextSeries: London Mathematical Society Lecture Note Series ; no. 198Publisher: Cambridge : Cambridge University Press, 1994Description: 1 online resource (184 pages) : digital, PDF file(s)Content type: text Media type: computer Carrier type: online resourceISBN: 9780511526350 (ebook)Subject(s): Four-manifolds (Topology) | Homotopy theory | Algebraic topologyAdditional physical formats: Print version: : No titleDDC classification: 514.3 LOC classification: QA613.2 | .H55 1994Online resources: Click here to access online Summary: 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.
E-BOOKS
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| IMSc Library | IMSc Library | Link to resource | Available | EBK12051 |
Title from publisher's bibliographic system (viewed on 16 Oct 2015).
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.
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