498 research outputs found
Nahm transformation for parabolic Higgs bundles on the projective line - case of non-semisimple residues
We extend our earlier construction of Nahm transformation for parabolic Higgs
bundles on the projective line to solutions with not necessarily semisimple
residues and show that it determines a holomorphic mapping on corresponding
moduli spaces. The construction relies on suitable elementary modifications of
the logarithmic Dolbeault complex.Comment: 15 pages, submitted to the proceedings of the Warwick EPSRC
Symposium: Fourier--Mukai, 34 years on (VBAC 2015
The birational geometry of unramified irregular Higgs bundles on curves
We give a variant of the Beauville-Narasimhan-Ramanan correspondence for irregular parabolic Higgs bundles on smooth projective curves with fixed semi-simple irregular part and show that it defines a Poisson isomorphism between certain irregular Dolbeault moduli spaces and relative Picard bundles of families of ruled surfaces over the curve
Hitchin Fibrations on Two-Dimensional Moduli Spaces of Irregular Higgs Bundles with One Singular Fiber
We analyze and completely describe the four cases when the Hitchin fibration
on a -dimensional moduli space of irregular Higgs bundles over
has a single singular fiber. The case when the fiber at
infinity is of type is further analyzed, and we give constructions of
all the possible configurations of singular curves inelliptic fibrations having
this type of singular fiber at infinity
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