In Part I, we defined a large class of open symplectic manifolds, called symplectic $\mathbb
{C}^* $-manifolds, which are typically non-exact at infinity, and we showed that their …

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 bundles of …

Prior works relating meromorphic Higgs bundles to topological recursion, in particular those
of Dumitrescu-Mulase, have considered non-singular models that allow the recursion to be …

We establish a strong categorical correspondence between isomorphism classes of
sheaves of arbitrary rank on one algebraic curve and twisted pairs on another algebraic …

We explore very stable and wobbly bundles, twisted in a particular sense by a line bundle,
over complex algebraic curves of genus $1 $. We verify that twisted stable bundles on an …

The focus of this thesis is on the interplay between Higgs bundles and topological recursion.
Our interests lie in the relationship between quantum curves and the quantization of Hitchin …

In this paper, we associate a Higgs bundle over P 1 with a Higgs quiver. We need to
consider the Higgs representation of Higgs quivers, where the difference of Higgs …