Hyperkähler Manifolds of Curves in Twistor Spaces

Abstract

We discuss hypercomplex and hyperkähler structures obtained from higher degree curves in complex spaces fibring over ${\mathbb{P}}^1$.

v4: added the missing assumption on dimension in Theorem 3.11

References in corpus (1)

• Line bundles on spectral curves and the generalised Legendre transform construction of hyperkaehler metrics

Cited by in corpus (2)

• Transverse Hilbert Schemes and Completely Integrable Systems
• Hyperkähler geometry of rational curves in twistor spaces