Instantons and Four-manifolds |
Contents
Preface to the Second Edition | 1 |
Glossary | 12 |
The YangMills Equations | 28 |
Copyright | |
9 other sections not shown
Other editions - View all
Common terms and phrases
2-forms 4-manifold action adjoint anti-self-dual Appendix argument Chern Chern class classifying cohomology compact compute conformally invariant construction convergent coordinates COROLLARY curvature defined denote diffeomorphism differentiable structure dimension Donaldson's Theorem elliptic complex elliptic operators embedded equivariant estimate exists finite dimensional fixed follows framed cobordism Fredholm gauge transformations geometry H₁(M H²(M Hence Hilbert space homeomorphic homology homotopy implies instanton intersection form invertible kernel LEMMA Lie algebra line bundle linear manifold metric g moduli space nonlinear nontrivial norm obtain open set operator oriented orthogonal positive definite principal bundle proof PROPOSITION prove reducible connections result Riemannian satisfies self-dual connections simply connected smooth smoothable Sobolev solutions Taubes theory topological trivial unique vanishes vector bundle Weitzenböck formula Yang-Mills connection Yang-Mills equations Ω²