Pluricomplex Geometry and Hyperbolic Monopoles
نویسندگان
چکیده
منابع مشابه
Hypercomplex Limits of Pluricomplex Structures and the Euclidean Limit of Hyperbolic Monopoles
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.
متن کاملHyperbolic calorons, monopoles, and instantons
We construct families of SO(3)-symmetric charge 1 instantons and calorons on the space H × R. We show how the calorons include instantons and hyperbolic monopoles as limiting cases. We show how Euclidean calorons are the flat space limit of this family.
متن کاملHyperbolic Monopoles and Holomorphic Spheres
We associate to an SU(2) hyperbolic monopole a holomorphic sphere embedded in projective space and use this to uncover various features of the monopole.
متن کاملCompacti cation of hyperbolic monopoles
We prove that the space of SU(2) hyperbolic monopoles based at the centre of hyperbolic space is homeomorphic to the space of (un-based) rational maps of the two-sphere. The homeomorphism extends to a map of the natural compactiications of the two spaces. We also show that the scattering methods used in the study of monopoles apply to the connguration space for hyperbolic monopoles giving a hom...
متن کاملAsymptotic Values of Hyperbolic Monopoles
We show that many hyperbolic monopoles can be distinguished from each other via their asymptotic values in contrast to the case of Euclidean monopoles.
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Communications in Mathematical Physics
سال: 2013
ISSN: 0010-3616,1432-0916
DOI: 10.1007/s00220-013-1761-7