4-manifolds

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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.

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Title Statements

Full title :4-manifolds / Selman Akbulut.

Summary

Edition Statements

Publication Date:©2016
Edition:First edition

Publication Statements

Publisher(s):Oxford University Press
Place of Publication:Oxford
Language:eng
Publication Date:©2016

The Physical Object

Description:1 online resource (xii, 262 pages) : : illustrations (some color

Edition Identifiers

ISBN:9780191827136, 0191827134, 0191087750, 9780191087752
oclc:ocn964643442
LC Classification:QA613.2
Dewey Decimal:514/.34

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

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

6.6 Rational blowdownsChapter 7 Lefschetz fibrations; 7.1 Elliptic su…