Justin Sawon

Curvature and characteristic numbers of hyper-Kähler manifolds

It is perhaps surprising to see this norm expressed solely in terms of the volume andPontryagin classes. In fact the context for this formula is the work of Rozansky andWitten, who showed in [10] how one could associate to each compact hyperk¨ahlermanifold a three-manifold invariant. In more abstract terms, what they show is that

Lagrangian fibrations on Hilbert schemes of points on K3 surfaces

Let

Perturbative expansion of Chern-Simons theory

\mathrm{Hilb}^gS

Brauer Groups on K3 Surfaces and Arithmetic Applications

be the Hilbert scheme of

On Lagrangian fibrations by Jacobians i

g

Generalized twistor spaces for hyperkahler manifolds

points on a K3 surface

On Lagrangian fibrations by Jacobians II

S

Moduli spaces of sheaves on K3 surfaces

. Suppose that

Abelian fibred holomorphic symplectic manifolds

\mathrm{Pic}S\cong\Z C

Rozansky-Witten invariants of hyperk\"ahler manifolds

where