Holomorphic Yang-Mills Theory and Variation of the Donaldson Invariants

Abstract

We study the path integrals of the holomorphic Yang-Mills theory on compact Kähler surface with $b_2^{+}=1$. Based on the results, we examine the correlation functions of the topological Yang-Mills theory and the corresponding Donaldson invariants as well as their transition formulas.

46 pages, 1 Postscript figure, uses harvmac with epsf (references are added, Report number is corrected.)

References in corpus (4)

• Monopole Condensation, And Confinement In N=2 Supersymmetric Yang-Mills Theory
• Localization and Diagonalization: A review of functional integral techniques for low-dimensional gauge theories and topological field theories
• Monopoles and Four-Manifolds
• Flips of moduli spaces and transition formulas for Donaldson polynomial invariants of rational surfaces

Cited by in corpus (2)

• Integrating Over Higgs Branches
• Four-Dimensional Avatars of Two-Dimensional RCFT