Moduli spaces of PU(2)-monopoles

Abstract

The goal of this article was the S^1-equivariant transversality-problem and the compactification-problem for the moduli spaces of (perturbed) PU(2)-monopoles. A substantially improved version entitled "Moduli spaces of PU(2)-monopoles (revised version)" which gives simpler, clearer proofs of the transversality results, has been published on arxiv in June 99 and appeared in Asian J. Math, see Moduli spaces of PU(2)-Monopoles, Asian J. Math. Vol. 4, No. 2 (2000), 391-436.

This paper has been withdrawn by the author. A substantially improved version, arXiv:math/9906163, entitled "Moduli spaces of PU(2)-monopoles (revised version)" which gives simpler, clearer proofs of the transversality results, has been published on arxiv in June 99 (see also the article "Moduli spaces of PU(2)-Monopoles", Asian J. Math. Vol. 4, No. 2 (2000), 391-436.)

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• PU(2) monopoles and relations between four-manifold invariants
• SO(3) Monopoles, Level-One Seiberg-Witten Moduli Spaces, and Witten's Conjecture in Low Degrees
• PU(2) monopoles and links of top-level Seiberg-Witten moduli spaces
• PU(2) monopoles. III: Existence of gluing and obstruction maps
• The SO(3) monopole cobordism and superconformal simple type
• Magnetic monopole bibliography
• Deformation theory of the blown-up Seiberg-Witten equation in dimension three
• A perturbation and generic smoothness of the Vafa-Witten moduli spaces on closed symplectic four-manifolds
• Generalised Seiberg-Witten equations and almost-Hermitian geometry
• A vanishing result for a Casson-type instanton invariant
• Uhlenbeck compactness and transversality for the moduli space of PU(2) monopoles
• Virtual Morse-Bott index, moduli spaces of pairs, and applications to topology of smooth four-manifolds