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Hypercomplex limits of pluricomplex structures and the Euclidean limit of hyperbolic monopoles

2012/01/03 by Roger Bielawski, Bielawski, Roger, Lorenz Schwachhöfer +1
Mathematics · Physics and Astronomy · #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #High Energy Physics - Theory (hep-th) #hep-th #math.DG

paper · pdf · doi:10.48550/arxiv.1201.0781

11 pages; Version 2 clarifies the relation to the work of Atiyah

arxiv created 2012/01/26 · arxiv updated 2012/01/27

Abstract

We discuss the Euclidean limit of hyperbolic SU(2)-monopoles, framed at infinity, from the point of view of pluricomplex geometry. More generally, we discuss the geometry of hypercomplex manifolds arising as limits of pluricomplex manifolds.

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