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4-manifolds /
In '4-Manifolds', topology and invariants of smooth 4-manifolds are presented in a self-contained way. In particular handlebodies of 4-manifolds, symplectic and stein structures and Seiberg-Witten invariants are discussed.
| Clasificación: | Libro Electrónico |
|---|---|
| Autor principal: | |
| Formato: | Electrónico eBook |
| Idioma: | Inglés |
| Publicado: |
Oxford :
Oxford University Press,
2016.
|
| Edición: | First edition. |
| Colección: | Oxford graduate texts in mathematics ;
25. |
| Temas: | |
| Acceso en línea: | Texto completo |
MARC
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| 100 | 1 | |a Akbulut, Selman, |d 1949- |e author. | |
| 245 | 1 | 0 | |a 4-manifolds / |c Selman Akbulut. |
| 246 | 3 | |a Four-manifolds | |
| 250 | |a First edition. | ||
| 264 | 1 | |a Oxford : |b Oxford University Press, |c 2016. | |
| 264 | 4 | |c ©2016 | |
| 300 | |a 1 online resource (xii, 262 pages) : |b illustrations (some color | ||
| 336 | |a text |b txt |2 rdacontent | ||
| 337 | |a computer |b c |2 rdamedia | ||
| 338 | |a online resource |b cr |2 rdacarrier | ||
| 490 | 1 | |a Oxford graduate texts in mathematics ; |v 25 | |
| 504 | |a Includes bibliographical references and index. | ||
| 588 | 0 | |a Print version record. | |
| 520 | 8 | |a In '4-Manifolds', topology and invariants of smooth 4-manifolds are presented in a self-contained way. In particular handlebodies of 4-manifolds, symplectic and stein structures and Seiberg-Witten invariants are discussed. | |
| 505 | 0 | |a Cover; Preface; Contents; Chapter 1 4-manifold handlebodies; 1.1 Carving (invariant notation of 1-handle); 1.2 Sliding handles; 1.3 Canceling handles; 1.4 Carving ribbons; 1.5 Non-orientable handles; 1.6 Algebraic topology; Chapter 2 Building low-dimensional manifolds; 2.1 Plumbing; 2.2 Self plumbing; 2.3 Some useful diffeomorphisms; 2.4 Examples; 2.5 Constructing diffeomorphisms by carving; 2.6 Shake slice knots; 2.7 Some classical invariants; Chapter 3 Gluing 4-manifolds along their boundaries; 3.1 Constructing −M ͜ f N by the upside down method | |
| 505 | 8 | |a 3.2 Constructing −M ͜ f N and M(f) by the cylinder method (roping)3.3 Codimension zero surgery M ↦ M′; Chapter 4 Bundles; 4.1 T4 = T2 × T2; 4.2 Cacime surface; 4.3 General surface bundles over surfaces; 4.4 Circle bundles over 3-manifolds; 4.5 3-manifold bundles over the circle; Chapter 5 3-manifolds; 5.1 Dehn surgery; 5.2 From framed links to Heegaard diagrams; 5.3 Gluing knot complements; 5.4 Carving 3-manifolds; 5.5 Rohlin invariant; Chapter 6 Operations; 6.1 Gluck twisting; 6.2 Blowing down ribbons; 6.3 Logarithmic transform; 6.4 Luttinger surgery; 6.5 Knot surgery | |
| 505 | 8 | |a 6.6 Rational blowdownsChapter 7 Lefschetz fibrations; 7.1 Elliptic surface E(n); 7.2 Dolgachev surfaces; 7.3 PALFs; 7.4 ALFs; 7.5 BLFs; Chapter 8 Symplectic manifolds; 8.1 Contact manifolds; 8.2 Stein manifolds; 8.3 Eliashberg's characterization of Stein; 8.4 Convex decomposition of 4-manifolds; 8.5 M4 = ∣BLF∣; 8.6 Stein = ∣PALF∣; 8.7 Imbedding Stein to symplectic via PALF; 8.8 Symplectic fillings; Chapter 9 Exotic 4-manifolds; 9.1 Constructing small exotic manifolds; 9.2 Iterated 0-Whitehead doubles are non-slice; 9.3 A solution of a conjecture of Zeeman; 9.4 An exotic R4 | |
| 505 | 8 | |a 13.5 Seiberg-Witten invariants13.6 S-W when b+2 (X) = 1 ; 13.7 Blowup formula; 13.8 S-W for torus surgeries; 13.9 S-W for manifolds with T3 boundary ; 13.10 S-W for logarithmic transforms; 13.11 S-W for knot surgery XK ; 13.12 S-W for S1 × Y 3 ; 13.13 Moduli space near the reducible solution; 13.14 Almost complex and symplectic structures; 13.15 Antiholomorphic quotients; 13.16 S-W equations on R × Y 3 ; 13.17 Adjunction inequality; Chapter 14 Some applications; 14.1 10/8 theorem; 14.2 Cappell-Shaneson homotopy spheres; 14.3 Flexible contractible 4-manifolds | |
| 590 | |a eBooks on EBSCOhost |b EBSCO eBook Subscription Academic Collection - Worldwide | ||
| 650 | 0 | |a Four-manifolds (Topology) | |
| 650 | 6 | |a Variétés topologiques à 4 dimensions. | |
| 650 | 7 | |a MATHEMATICS |x Topology. |2 bisacsh | |
| 650 | 7 | |a Four-manifolds (Topology) |2 fast | |
| 776 | 0 | 8 | |i Print version: |a Akbulut, Selman, 1949- |t 4-manifolds. |b First edition. |d Oxford : Oxford University Press, 2016 |z 0198784864 |z 9780198784869 |w (OCoLC)938360673 |
| 830 | 0 | |a Oxford graduate texts in mathematics ; |v 25. | |
| 856 | 4 | 0 | |u https://ebsco.uam.elogim.com/login.aspx?direct=true&scope=site&db=nlebk&AN=1506249 |z Texto completo |
| 880 | 8 | |6 505-00/(S |a 9.5 An exotic non-orientable closed manifoldChapter 10 Cork decomposition; 10.1 Corks; 10.2 Anticorks; 10.3 Knotting corks; 10.4 Plugs; Chapter 11 Covering spaces; 11.1 Handlebody of coverings; 11.2 Handlebody of branched coverings; 11.3 Branched covers along ribbon surfaces; Chapter 12 Complex surfaces; 12.1 Milnor fibers of isolated singularities; 12.2 Hypersurfaces that are branched covers of CP2; 12.3 Handlebody descriptions of Vd; 12.4 Σ(a, b, c); Chapter 13 Seiberg-Witten invariants; 13.1 Representations; 13.2 Action of Λ∗(X) on W±; 13.3 Dirac operator; 13.4 A special calculation | |
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