Introduction to 3-manifolds
Material type:
TextSeries: Graduate studies in mathematics ; v. 151Publication details: Hyderabad : Universities Press, ©2014Description: x, 286 p. : ill. ; 27 cmISBN: - 9781470454715
- Three-manifolds (Topology)
- Topological manifolds
- Manifolds (Mathematics)
- Manifolds and cell complexes -- Topological manifolds -- Geometric structures on manifolds
- Manifolds and cell complexes -- Topological manifolds -- Neighborhoods of submanifolds
- Manifolds and cell complexes -- Topological manifolds -- General position and transversality
- Manifolds and cell complexes -- PL-topology -- Triangulating manifolds
- Manifolds and cell complexes -- PL-topology -- Comparison of PL-structures: classification, Hauptvermutung
- Manifolds and cell complexes -- PL-topology -- Regular neighborhoods
- Manifolds and cell complexes -- PL-topology -- Knots and links (in high dimensions)
- 514.34 SCH-I
| Item type | Current library | Collection | Call number | Status | Date due | Barcode | Item holds |
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IIITD General Stacks | Mathematics | 514.34 SCH-I (Browse shelf(Opens below)) | Available | 012975 |
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| 514.325 KUM-T Topology of metric spaces | 514.325 KUM-T Topology of metric spaces | 514.325 SEA-M Metric spaces | 514.34 SCH-I Introduction to 3-manifolds | 514.7 GUI-D Differential topology | 514.72 MAR-S Seiberg-Witten gauge theory | 514.72 MUK-D Differential topology |
Includes bibliographical references (pages 275-282) and index.
1. Perspectives on Manifolds. 2. Surfaces. 3. 3-Manifolds. 4. Knots and Links in 3-Manifolds. 5. Triangulated 3-Manifolds. 6. Heegaard Splittings. 7. Further Topics.
"The exposition begins with the definition of a manifold, explores possible additional structures on manifolds, discusses the classification of surfaces, introduces key foundational results for 3-manifolds, and provides an overview of knot theory. It then continues with more specialized topics by briefly considering triangulations of 3-manifolds, normal surface theory, and Heegaard splittings. The book finishes with a discussion of topics relevant to viewing 3-manifolds via the curve complex."
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