15 citations · 15 across the 1 of their papers we have counts for
5 papers
On the monodromy of moduli spaces of sheaves on K3 surfaces II
Eyal Markman
Let S be a K3 surface. In part I of this paper, we constructed a representation of the group Aut D(S), of auto-equivalences of the derived category of S. We interpreted this infini…
Elliptic Sklyanin integrable systems for arbitrary reductive groups
Jacques Hurtubise, Eyal Markman
We present the analogue, for an arbitrary complex reductive group G, of the elliptic integrable systems of Sklyanin. The Sklyanin integrable systems were originally constructed on…
The Moduli of Flat PU(p,p)-Structures with Large Toledo Invariants
Eyal Markman, Eugene Z. Xia
For a compact Riemann surface of genus , $\Hom(π_1(X), PU(p,q))/PU(p,q)$ is the moduli space of flat -connections on . There are two invariants, the Chern cl…
Generators of the cohomology ring of moduli spaces of sheaves on symplectic surfaces
Eyal Markman
Let M be a moduli space of stable sheaves on a K3 or Abelian surface S. We express the class of the diagonal in the cartesian square of M in terms of the Chern classes of a univers…
Brill-Noether duality for moduli spaces of sheaves on K3 surfaces
Eyal Markman
Components of the Moduli space of sheaves on a K3 surface are parametrized by a lattice; the (algebraic) Mukai lattice. Isometries of the Mukai lattice often lift to symplectic bir…