Elliptic constructions of hyperkaehler metrics I: The Atiyah-Hitchin manifold
arXiv:0712.3598
Abstract
This is the first in a series of papers in which we develop a twistor-based method of constructing hyperkaehler metrics from holomorphic functions and elliptic curves. As an application, we revisit the Atiyah-Hitchin manifold and derive in an explicit holomorphic coordinate basis closed-form formulas for, among other things, the metric, the holomorphic symplectic form and all three Kaehler potentials.
arXiv comment40 pages, 1 figure
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Cited by in corpus (5)
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- Darboux Coordinates and Instanton Corrections in Projective Superspace
- A Kähler Compatible Moyal Deformation of the First Heavenly Equation