Abstract
Ricci-flat manifolds have been studied for many years and the interest in various aspects of their theory seems still to be growing. Their rich geometry has been explored with techniques from different branches of mathematics and the interplay of analysis, arithmetic, and geometry makes their theory highly attractive. At the same time, these manifolds play a prominent rôle in string theory and, in particular, in mirror symmetry. Physicists have come up with interesting and difficult mathematical questions and have suggested completely new directions that should be pursued.
Keywords
- Modulus Space
- Twistor Space
- Exceptional Divisor
- Hilbert Scheme
- Hodge Structure
These keywords were added by machine and not by the authors. This process is experimental and the keywords may be updated as the learning algorithm improves.
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© 2003 Springer-Verlag Berlin Heidelberg
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Huybrechts, D. (2003). Compact Hyperkähler Manifolds. In: Ellingsrud, G., Ranestad, K., Olson, L., Strømme, S.A. (eds) Calabi-Yau Manifolds and Related Geometries. Universitext. Springer, Berlin, Heidelberg. https://doi.org/10.1007/978-3-642-19004-9_3
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DOI: https://doi.org/10.1007/978-3-642-19004-9_3
Publisher Name: Springer, Berlin, Heidelberg
Print ISBN: 978-3-540-44059-8
Online ISBN: 978-3-642-19004-9
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