1997/10/12 by Paul M. N. Feehan, Feehan, Paul M. N., Thomas G. Leness +1
Mathematics · Physics and Astronomy · #Advanced Algebra and Geometry #Advanced Topics in Algebra #Algebraic Geometry (math.AG) #Algebraic structures and combinatorial models #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #alg-geom #dg-ga #hep-th #math.AG #math.DG
paper · pdf · doi:10.48550/arxiv.dg-ga/9710012
LaTeX 2e, 15 pages
arxiv created 1997/10/12 · openalex publication_date 1997/10/12 · arxiv updated 2009/11/30 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
This research announcement gives a brief report of the main results in our paper "PU(2) monopoles, I: Regularity, Uhlenbeck compactness, and transversality" (Journal of Differential Geometry, to appear). We describe the existence of perturbations for the PU(2) monopole equations, yielding both useful transversality properties and an Uhlenbeck compactification for this perturbed moduli space.