Department of Mathematics
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Math 358: Topics in Algebra

The Seiberg-Witten equations and the topology of four manifolds

Abstract

The aim of this course is to define the Seiberg-Witten invariants of compact oriented Riemannian four manifolds together with a Spin^c structure on its frame bundle (associated to the tangent bundle). We will study the moduli of the solutions of these equations. We will particularly be interested in solving these equations over Kahler manifolds. The course will be an introduction to the Seiberg-Witten equations and will not require any prior knowledge of the theory. We will only require a basic introductory knowledge of manifolds. The text book for this course will be: "The Seiberg-Witten equations and applications to the topology of smooth four-manifolds" by John W. Morgan, published by Princeton University Press.

Shrawan Kumar
Mathematics Department
Duke University

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