The N = 2 topological Yang-Mills and holomorphic Yang-Mills theories on simply connected compact Kähler surfaces with pg ≥ 1 are re-examined. 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 H2,0 (S, ℤ) ⊕ H0,2 (S, ℤ).
All Science Journal Classification (ASJC) codes
- Mathematical Physics
- Physics and Astronomy(all)
- Geometry and Topology