Bibliography: leaves 66-70. / v, 70 leaves ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / "The goal of this thesis is to calculate the Seiberg-Witten invariant for complex surfaces, X, with odd first betti number, that is complex surfaces that do not admit a Kahler metric". / Thesis (Ph.D.)--University of Adelaide, Dept. of Pure Mathematics, 1997

Bibliography: p. 135-138. / 140 p. ; 30 cm. / Title page, contents and abstract only. The complete thesis in print form is available from the University Library. / Thesis (Ph.D.)--University of Adelaide, Dept. of Pure Mathematics, 1998?

Chan, Kai Leung. / Thesis (M.Phil.)--Chinese University of Hong Kong, 2007. / Includes bibliographical references (leaves 106-109). / Abstracts in English and Chinese. / Chapter 0 --- Introduction --- p.7 / Chapter I --- Background Scenery --- p.10 / Chapter 1 --- Seiberg-Witten Invariants --- p.11 / Chapter 1.1 --- Preliminaries --- p.11 / Chapter 1.2 --- Construction of Seiberg-Witten Invariants --- p.17 / Chapter 1.2.1 --- Seiberg-Witten Equations and the Moduli Space --- p.17 / Chapter 1.2.2 --- Seiberg-Witten Invariants --- p.19 / Chapter 1.2.3 --- Remarks --- p.20 / Chapter 1.2.4 --- Seiberg-Witten Invariants for b+2= 1 --- p.22 / Chapter 1.3 --- Important Results of Seiberg-Witten Invariants --- p.23 / Chapter 1.3.1 --- Manifolds Admit Positive Scalar Metrics --- p.23 / Chapter 1.3.2 --- Connected Sums --- p.25 / Chapter 1.3.3 --- Kahler Surfaces --- p.27 / Chapter 1.3.4 --- Symplectic Manifolds --- p.30 / Chapter 2 --- Intersection Forms --- p.32 / Chapter 2.1 --- Intersection Forms of 4-manifolds --- p.32 / Chapter 2.2 --- Classification Theorem --- p.34 / Chapter 2.3 --- Review: Van Kampen's Theorem --- p.35 / Chapter 3 --- Kirby Calculus --- p.37 / Chapter 3.1 --- Review on Handle Decompositions --- p.37 / Chapter 3.1.1 --- Constructions --- p.38 / Chapter 3.1.2 --- Handle Slides and Cancellations --- p.42 / Chapter 3.1.3 --- Calculation of Homology Groups --- p.44 / Chapter 3.2 --- Kirby Diagrams --- p.45 / Chapter 3.2.1 --- Constructions --- p.45 / Chapter 3.2.2 --- Handle Slides and Cancellations --- p.50 / Chapter 3.2.3 --- Dotted Notation for 1-handles --- p.56 / Chapter 3.3 --- 3-Manifolcis: As Boundaries of 4-Manifolds --- p.60 / Chapter 3.3.1 --- Introduction --- p.60 / Chapter 3.3.2 --- Lens spaces --- p.62 / Chapter 3.4 --- Linear Plumbing --- p.63 / Chapter 3.5 --- Rational Blowdown --- p.65 / Chapter II --- Examples of Exotic Structures --- p.71 / Chapter 4 --- mCP2#kCP2 --- p.72 / Chapter 4.1 --- Introduction --- p.72 / Chapter 4.2 --- Example: CP2#7CP2 --- p.73 / Chapter 4.3 --- Progress of Researches --- p.85 / Chapter 5 --- Gluing Results in Seiberg-Witten Theory --- p.89 / Chapter 5.1 --- Revisit of Seiberg-Witten Invariants --- p.89 / Chapter 5.2 --- Fiber Sums and its Generalization --- p.91 / Chapter 5.3 --- Logarithmic transformations and its Generalization --- p.93 / Chapter 5.4 --- Knot Theory and Alexander Polynomials --- p.96 / Chapter 5.5 --- Main Theorem --- p.102 / Bibliography --- p.106

Thesis (Ph.D.)--Michigan State University. Dept. of Mathematics, 2008. / Title from PDF t.p. (viewed on July 6, 2009) Includes bibliographical references (p. 72-74). Also issued in print.

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