Table of contents for Lectures on Seiberg-Witten invariants / John Douglas Moore.


Bibliographic record and links to related information available from the Library of Congress catalog


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Preliminaries: Introduction; What is a vector bundle? What is a connection? The curvature of a connection; Characteristic classes; The Thom form; The universal bundle; Classification of connections; Hodge theory. Spin geometry on four-manifolds: Euclidean geometry and the spin groups; What is a spin structure? Almost complex and spin-c structures; Clifford algebras; The spin connection; The Dirac operator; The Atiyah-Singer index theorem. Global analysis: The Seiberg-Witten equations; The moduli space; Compactness of the moduli space; Transversality; The intersection form; Donaldson's theorem; Seiberg-Witten invariants; Dirac operators on Kaehler surfaces; Invariants of Kaehler surfaces. Bibliography. Index.


Library of Congress subject headings for this publication:
Global analysis (Mathematics)
Four-manifolds (Topology)