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Title: Twistors, Hyper-Kaehler Manifolds, and Complex Moduli
A theorem of Kuranishi (Ann Math 75(2):536–577, 1962) tells us that the moduli space of complex structures on any smooth compact manifold is always locally a finite-dimensional space. Globally, however, this is simply not true; we display examples in which the moduli space contains a sequence of regions for which the local dimension tends to infinity. These examples naturally arise from the twistor theory of hyper-Kähler manifolds.  more » « less
Award ID(s):
1510094
PAR ID:
10222314
Author(s) / Creator(s):
Editor(s):
Chiossi, Simon; Fino, Anna; Musso, Emilio; Podesta, Fabio; Vezzoni, Luigi
Date Published:
Journal Name:
Springer INdAM series
Volume:
23
ISSN:
2281-5198
Page Range / eLocation ID:
207-214
Format(s):
Medium: X
Sponsoring Org:
National Science Foundation
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