@inproceedings{3f48155a4d5f4ea5969d9503568b552f,
title = "Twistors, Hyper-K{\"a}hler manifolds, and complex moduli",
abstract = "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-K{\"a}hler manifolds.",
keywords = "Complex structure, Hyper-K{\"a}hler, Kodaira-Spencer map, Moduli, Twistor space",
author = "Claude LeBrun",
note = "Publisher Copyright: {\textcopyright} Springer International Publishing AG 2017.; INdAM Workshop on New perspectives in differential geometry, 2015 ; Conference date: 16-11-2015 Through 20-11-2015",
year = "2017",
doi = "10.1007/978-3-319-67519-0\_8",
language = "English",
isbn = "9783319675183",
series = "Springer INdAM Series",
publisher = "Springer International Publishing",
pages = "207--214",
editor = "Fabio Podesta and Chiossi, \{Simon G.\} and Emilio Musso and Anna Fino and Luigi Vezzoni",
booktitle = "Special Metrics and Group Actions in Geometry",
}