4 papers
Symplectic geometry and the uniqueness of Grauert tubes
D. Burns, R. Hind
A compact real analytic Riemannian manifold M admits a canonical complexification with plurisubharmonic exhaustion function satisfying the homogeneous complex Monge-Ampere equation…
Symplectic rigidity for Anosov hypersurfaces
D. Burns, R. Hind
We show, using standard results in length spectrum rigidity and symplectic homology, that if the unit tangent bundles of two compact surfaces of negative curvature are exact symple…
On the algebraicization of certain Stein manifolds
R. Aguilar, D. M. Burns
To every real analytic Riemannian manifold M there is associated a complex structure on a neighborhood of the zero section in the real tangent bundle of M. This structure can be un…
HyperKähler Manifolds and Birational Transformations in dimension 4
Dan Burns, Yi Hu, Tie Luo
We show that any birational map between projective hyperKähler manifolds of dimension 4 is composed of a sequence of simple flops or elementary Mukai transformations under the assu…