Two lectures on local riemannian geometry, $Spin^{\C}$ - structures and Seiberg - Witten equation

Details Two lectures on local riemannian geometry, $Spin^{\C}$ - structures and Seiberg - Witten equation Two lectures on local riemannian geometry, $Spin^{\C}$ - structures and Seiberg - Witten equation

2003-02-04

arxiv.org/abs/math/0302034v1

Mathematics

Differential Geometry

The lectures were given at Korean Institute for Advanced Study (spring 2001). The text was finished and (will be) published as

Scientific paper

In the present text we discuss basic aspects of the Seiberg - Witten theory mainly focusing the attantion on some geometrical details which could make the introduction to the subject more illustrative. At the same time we list there natural problems arise in this framework mostly interesting to the author. This text could be regarded as additional remarks to any comlete course on the Seiberg - Witten invariants.

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