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We study parabolic G-Higgs bundles over a compact Riemann surface with fixedpunctures, when G is a real reductive Lie group, and establish a correspondencebetween these objects and representations of the fundamental group of thepunctured surface in G with arbitrary holonomy around the punctures. Threeinteresting features are the relation between the parabolic degree and thegeometry of the Tits boundary, the treatment of the case when the logarithm ofthe monodromy is on the boundary of a Weyl alcove, and the correspondence ofthe orbits encoding the singularity via the Kostant-Sekiguchi correspondence.We also describe some special features of the moduli spaces when G is a splitreal form or a group of Hermitian type.

Parabolic Higgs bundles and representations of the fundamental group of a punctured surface into a real group