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Introduction to the First Edition
2 The YangMills Equations
8 other sections not shown
2-forms 4-manifold action adjoint anti-self-dual Appendix argument At-i ball boundary bounded Chern class classifying cohomology collar compute concentrated instanton conformally invariant construction convergent coordinates Corollary curvature cutoff function defined denote derivative diffeomorphism differentiable structure dimension Donaldson's Theorem elliptic complex elliptic operators embedded equivariant exists exponential fiber finite dimensional fixed follows framed cobordism Fredholm Furthermore gauge equivalent gauge transformations geometry Hence Hilbert space homeomorphic homology homotopy Ht(Endr implies instanton intersection form invertible irreducible isomorphism kernel Lemma Lie algebra line bundle linear metric g moduli space neighborhood noncompact nonlinear nontrivial nonzero norm obtain open set orbit orthogonal perturbation positive definite principal bundle PROPOSITION prove Recall reducible connections restrict result Riemannian satisfies self-dual connections simply connected singular points smoothable smoothly Sobolev spaces solutions split tangent space Taubes theory tion trivial unique vanishes vector bundle Weitzenbock formula Yang-Mills connection Yang-Mills equations