5 papers · 1 filter
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…
A generalized spectral correspondence
Kuntal Banerjee, Steven Rayan
We explore a strong categorical correspondence between isomorphism classes of sheaves of arbitrary rank on a given algebraic curve and twisted pairs on another algebraic curve, mos…
Spectral coverings without embeddings
Eric Boulter, Steven Rayan
In this article, we investigate a weakened version of the spectral correspondence for twisted Higgs bundles. Namely, we construct twisted Higgs bundles from a finite covering map a…
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…
Very stable and wobbly loci for elliptic curves
Kuntal Banerjee, Steven Rayan
We explore very stable and wobbly bundles, twisted in a particular sense by a line bundle, over complex algebraic curves of genus . We verify that twisted stable bundles on an e…