Introduction to 3-Manifolds / Jennifer Schultens
Material type:
TextPublisher number: :Variety Books Publishers & Distributors | :B-10 Street No 2 West Vinod Nagar Delhi 110092 Series: Graduate studies in mathematics, v. 151Publication details: New Delhi :University Press 2019Description: x, 286 pages : illustrations ; 27 cmISBN: - 9781470454715
- Mathematics
- Topology
- 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 -- Regular neighborhoods
- Dimension 3
- 514.34 SCH
| Item type | Current library | Call number | Status | Notes | Barcode | |
|---|---|---|---|---|---|---|
Mathematics Departmental Library
|
SNU LIBRARY | 514.34 SCH (Browse shelf(Opens below)) | Available | FPDA Grant | M306 |
1. Perspectives on Manifolds. 1.1. Topological Manifolds --
1.2. Differentiable Manifolds --
1.3. Oriented Manifolds --
1.4. Triangulated Manifolds --
1.5. Geometric Manifolds --
1.6. Connected Sums --
1.7. Equivalence of Categories --
2. Surfaces. 2.1. A Few Facts about 1-Manifolds --
2.2. Classification of Surfaces --
2.3. Decompositions of Surfaces --
2.4. Covering Spaces and Branched Covering Spaces --
2.5. Homotopy and Isotopy on Surfaces --
2.6. The Mapping Class Group --
3. 3-Manifolds. 3.1. Bundles --
3.2. The Schonflies Theorem --
3.3. 3-Manifolds that are Prime but Reducible --
3.4. Incompressible Surfaces --
3.5. Dehn's Lemma* --
3.6. Hierarchies* --
3.7. Seifert Fibered Spaces --
3.8. JSJ Decompositions --
3.9. Compendium of Standard Arguments --
4. Knots and Links in 3-Manifolds. 4.1. Knots and Links --
4.2. Reidemeister Moves --
4.3. Basic Constructions --
4.4. Knot Invariants --
4.5. Zoology --
4.6. Braids --
4.7. The Alexander Polynomial --
4.8. Knots and Height Functions --
4.9. The Knot Group* --
4.10. Covering Spaces* --
5. Triangulated 3-Manifolds. 5.1. Simplicial Complexes --
5.2. Normal Surfaces --
5.3. Diophantine Systems --
5.4. 2-Spheres* --
5.5. Prime Decompositions --
5.6. Recognition Algorithms --
5.7. PL Minimal Surfaces** --
6. Heegaard Splittings. 6.1. Handle Decompositions --
6.2. Heegaard Diagrams --
6.3. Reducibility and Stabilization --
6.4. Waldhausen's Theorem --
6.5. Structural Theorems --
6.6. The Rubinstein-Scharlemann Graphic --
6.7. Weak Reducibility and Incompressible Surfaces --
6.8. Generalized Heegaard Splittings --
6.9. An Application --
6.10. Heegaard Genus and Rank of Fundamental Group* --
7. Further Topics. 7.1. Basic Hyperbolic Geometry --
7.2. Hyperbolic n-Manifolds** --
7.3. Dehn Surgery I --
7.4. Dehn Surgery II --
7.5. Foliations --
7.6. Laminations --
7.7. The Curve Complex --
7.8. Through the Looking Glass.
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