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

S. Hyun·J. -S. Park
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Abstract

The $N=2$ topological Yang-Mills and holomorphic Yang-Mills theories on simply connected compact Kähler 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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S. Hyun, J. -S. Park. 1994-09-09. $N=2$ Topological Yang-Mills Theories and Donaldson's Polynomials. https://arxiv.org/abs/hep-th/9404009

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