The Geometry of Toric Hyperkähler Varieties

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In this survey article we describe the geometry of toric hyperkähler varieties, which are hyperkähler quotients of the quaternionic vector spaces by tori. In particular, we discuss the Betti numbers, the cohomology ring, and variation of hyperkähler structures of these spaces with many improved results and proofs.
20pages. To appear in AMS Contemporary Mathematics (Proceedings of the Toric Topology Conference, Osaka, Japan

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Differential Geometry, Symplectic Geometry, 53C26; 53D20; 14L24

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http://salesiana.dossiersoluciones.com/handle/123456789/137613

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0709.1252
 http://arxiv.org/abs/0709.1252

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arXiv