Hyperkaehler manifolds with torsion obtained from hyperholomorphic bundles
| dc.creator | Verbitsky, Misha | |
| dc.date | 2003-03-11 | |
| dc.date.accessioned | 2026-07-07T04:55:56Z | |
| dc.date.available | 2026-07-07T04:55:56Z | |
| dc.description | We construct examples of compact hyperkaehler manifolds with torsion (HKT manifolds) which are not homogeneous and not locally conformal hyperkaehler. Consider a total space T of a tangent bundle over a hyperkaehler manifold M. The manifold T is hypercomplex, but it is never hyperkaehler, unless M is flat. We show that T admits an HKT-structure. We also prove that a quotient of T by a $\Z$-action $v \arrow q^n v$ is HKT, for any real number $q\in \R$, $q>1$. This quotient is compact, if M is compact. A more general version of this construction holds for all hyperholomorphic bundles with holonomy in Sp(n). | |
| dc.description | 17 pages, LaTeX | |
| dc.identifier | https://arxiv.org/abs/math/0303129 | |
| dc.identifier | http://arxiv.org/abs/math/0303129 | |
| dc.identifier | Math. Res. Lett. 10 (2003), no. 4, 501--513. | |
| dc.identifier.uri | http://salesiana.dossiersoluciones.com/handle/123456789/66756 | |
| dc.subject | Differential Geometry | |
| dc.subject | Algebraic Geometry | |
| dc.title | Hyperkaehler manifolds with torsion obtained from hyperholomorphic bundles | |
| dc.type | text |