## 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

Information from electronic data provided by the publisher. May be incomplete or contain other coding.

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)