MARC Record from Library of Congress

LEADER: 03784cam a2200409 i 4500
001 2013046541
003 DLC
005 20150224082803.0
008 131121s2014 riua b 001 0 eng
010 $a 2013046541
020 $a9781470410209 (hbk. : acid-free paper)
020 $a1470410206 (hbk. : acid-free paper)
040 $aDLC$beng$cDLC$erda$dDLC
042 $apcc
050 00 $aQA613.2$b.S35 2014
082 00 $a514/.34$223
084 $a57N05$a57N10$a57N16$a57N40$a57N50$a57N75$a57Q15$a57Q25$a57Q40$a57Q45$2msc
100 1 $aSchultens, Jennifer,$d1965-
245 10 $aIntroduction to 3-manifolds /$cJennifer Schultens.
246 3 $aIntroduction to three-manifolds
264 1 $aProvidence, Rhode Island :$bAmerican Mathematical Society,$c2014.
300 $ax, 286 pages :$billustrations ;$c27 cm.
336 $atext$2rdacontent
337 $aunmediated$2rdamedia
338 $avolume$2rdacarrier
490 0 $aGraduate studies in mathematics ;$vv. 151
504 $aIncludes bibliographical references (pages 275-282) and index.
505 0 $a1. 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.
650 0 $aTopological manifolds.
650 0 $aManifolds (Mathematics)
650 7 $aManifolds and cell complexes -- Topological manifolds -- Geometric structures on manifolds.$2msc
650 7 $aManifolds and cell complexes -- Topological manifolds -- Neighborhoods of submanifolds.$2msc
650 7 $aManifolds and cell complexes -- Topological manifolds -- General position and transversality.$2msc
650 7 $aManifolds and cell complexes -- PL-topology -- Triangulating manifolds.$2msc
650 7 $aManifolds and cell complexes -- PL-topology -- Comparison of PL-structures: classification, Hauptvermutung.$2msc
650 7 $aManifolds and cell complexes -- PL-topology -- Regular neighborhoods.$2msc
650 7 $aManifolds and cell complexes -- PL-topology -- Knots and links (in high dimensions).$2msc