Moduli of sheaves on hyperkähler manifolds
Abstract
We survey recent advances in the theory of moduli spaces of stable sheaves on hyperkähler manifolds of dimension greater than $2$. We start by recalling the well-known theory in dimension $2$, i.e.~for $K3$ surfaces, emphasizing the techniques which can be extended to higher dimensions.
Fields of Study & Subjects
Algebraic Geometry and Number Theory
Geometry and complex manifolds
Algebraic structures and combinatorial models
Publication details
- Journal / source
- arXiv (Cornell University)
- Publication date
- 26 February 2026
- Language
- EN
- Document type
- Preprint