N=2 Topological Yang-Mills Theory on Compact Kähler Surfaces

Details N=2 Topological Yang-Mills Theory on Compact Kähler Surfaces N=2 Topological Yang-Mills Theory on Compact Kähler Surfaces

1993-04-16

arxiv.org/abs/hep-th/9304060v4

Commun.Math.Phys. 163 (1994) 113-140

Physics

High Energy Physics

High Energy Physics - Theory

ESENAT-93-01 & YUMS-93-10, 34pages: [Final Version] to appear in Comm. Math. Phys

Scientific paper

10.1007/BF02101737

We study a topological Yang-Mills theory with $N=2$ fermionic symmetry. Our formalism is a field theoretical interpretation of the Donaldson polynomial invariants on compact K\"{a}hler surfaces. We also study an analogous theory on compact oriented Riemann surfaces and briefly discuss a possible application of the Witten's non-Abelian localization formula to the problems in the case of compact K\"{a}hler surfaces.

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