$N=2$ Topological Yang-Mills Theories and Donaldson's Polynomials

Details $N=2$ Topological Yang-Mills Theories and Donaldson's Polynomials $N=2$ Topological Yang-Mills Theories and Donaldson's Polynomials

1994-04-03

arxiv.org/abs/hep-th/9404009v3

J.Geom.Phys. 20 (1996) 31-53

Physics

High Energy Physics

High Energy Physics - Theory

30 pages, YUMS-94-08 : thoroughly rewritten version, including new observations, refinements and corrections

Scientific paper

The $N=2$ topological Yang-Mills and holomorphic Yang-Mills theories on simply connected compact K\"{a}hler surfaces with $p_g\geq 1$ are reexamined. The $N=2$ symmetry is clarified in terms of a Dolbeault model of the equivariant cohomology. We realize the non-algebraic part of Donaldson's polynomial invariants as well as the algebraic part. We calculate Donaldson's polynomials on $H^{2,0}(S,\BZ)\oplus H^{0,2}(S,\BZ)$.

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