  In order to unify the construction of the moduli space of vector bundles with
different types of global decorations, such as Higgs bundles, framed vector
bundles and conic bundles, A. Schmitt introduced the concept of a swamp. In
this work, we consider vector bundles with both a global and a local decoration
over a fixed point of the base. This generalizes the notion of parabolic vector
bundles, vector bundles with a level structure and parabolic Higgs bundles. We
introduce a notion of stability and construct the coarse moduli space for these
objects as the GIT-quotient of a parameter space. In the case of parabolic
vector bundles and vector bundles with a level structure our stability concept
reproduces the known ones. Thus, our work unifies the construction of their
moduli spaces.

Algebraic Geometry