Pullback and direct image of parabolic connections and parabolic Higgs bundles

Abstract

We provide an explicit algebraic construction for the pullback and direct image of parabolic bundles, parabolic Higgs bundles and parabolic connections through maps between Riemann surfaces. We show that these constructions preserve semistability and polystability, and we prove that they are compatible with the nonabelian Hodge correspondence.

28 pages

References in corpus (1)

• Direct Images in Non Abelian Hodge Theory

Cited by in corpus (1)

• Geometric local systems on the projective line minus four points