2026-07-072026-07-07http://salesiana.dossiersoluciones.com/handle/123456789/148354The $N=2$ 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 $H^{2,0}(S,\BZ)\oplus H^{0,2}(S,\BZ)$.30 pages, YUMS-94-08 : thoroughly rewritten version, including new observations, refinements and correctionsHigh Energy Physics - Theorytext