This paper is intended both as an introduction to the algebraic geometry of holomorphic
Poisson brackets, and as a survey of results on the classification of projective Poisson …

Co-Higgs bundles are Higgs bundles in the sense of Simpson, but with Higgs fields that take
values in the tangent bundle instead of the cotangent bundle. Given a vector bundle on P^ 1 …

We propose and prove the Verlinde formula for the quantization of the Higgs bundle moduli
spaces and stacks for any simple and simply-connected group. This generalizes the …

We give an explicit solution of the ADHM recursion formula conjectured by Chuang,
Diaconescu, and Pan. This solution is closely related to the formula for the Hodge …

On a complex manifold, a co-Higgs bundle is a holomorphic vector bundle with an
endomorphism twisted by the tangent bundle. The notion of generalized holomorphic …

In this paper, we introduce the notions of α-Hermitian–Einstein metric and α-stability for I±-
holomorphic vector bundles on bi-Hermitian manifolds. Moreover, we establish a Kobayashi …

For the moduli space of Higgs bundles on a Riemann surface of positive genus, critical
points of the natural Morse–Bott function lie along the nilpotent cone of the Hitchin fibration …

Poisson Structures and Lie Algebroids in Complex Geometry by Brent Pym A thesis submitted
in conformity with the requirements fo Page 1 Poisson Structures and Lie Algebroids in …

Ordinarily, quiver varieties are constructed as moduli spaces of quiver representations in the
category of vector spaces. It is also natural to consider quiver representations in a richer …

It has been observed, by Rayan, that the complex projective surfaces that potentially admit
non-trivial examples of semistable co-Higgs bundles must be found at the lower end of the …