4 papers
Diffeological non-Abelian Hodge theory: relative harmonic metrics and deformation theory
Mahmud Azam, Steven Rayan
Let be a compact Kähler manifold. In prior work, we constructed diffeological moduli stacks of Higgs and flat bundles on , related by extension completion of smooth harmoni…
A diffeological perspective on non-Abelian Hodge theory
Mahmud Azam, Steven Rayan
We construct diffeological moduli stacks and parametrizing smooth families of Higgs bundles and those of flat bundles, respectively, on…
Moduli stacks of quiver connections and non-Abelian Hodge theory
Mahmud Azam, Steven Rayan
In arXiv:2407.11958, a moduli stack parametrizing --indexed diagrams of Higgs bundles over a base stack was constructed for any finite simplicial set , inspiring speculat…
Moduli stacks of quiver bundles with applications to Higgs bundles
Mahmud Azam, Steven Rayan
We provide a general method for constructing moduli stacks whose points are diagrams of vector bundles over a fixed base, indexed by a fixed simplicial set -- that is, quiver bundl…