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math.DG1999
Curvature and characteristic numbers of hyperkähler manifolds
Nigel Hitchin, Justin Sawon
We express characteristic numbers of compact hyperkähler manifolds in graph-theoretical form, considering them as a special case of the curvature invariants introduced by Rozansky…
math.DG1999
Lectures on Special Lagrangian Submanifolds
Nigel Hitchin
These notes consist of a study of special Lagrangian submanifolds of Calabi-Yau manifolds and their moduli spaces. The particular case of three dimensions, important in string theo…
math.DG1999
The moduli space of complex Lagrangian submanifolds
N J Hitchin
Following an earlier paper on the differential-geometric structure of the moduli space of special Lagrangian submanifolds in a Calabi-Yau manifold, we follow an analogous approach…