Data di Pubblicazione:
2019
Citazione:
Quaternionic Toric Manifolds / G. Gentili, A. Gori, G. Sarfatti. - In: JOURNAL OF SYMPLECTIC GEOMETRY. - ISSN 1527-5256. - 17:1(2019), pp. 267-301.
Abstract:
In the present paper we introduce and study a new notion of toric manifold in the quaternionic setting. We develop a construction with which, starting from appropriate m-dimensional Delzant polytopes, we obtain manifolds of real dimension 4m, acted on by m copies of the group Sp(1) of unit quaternions. These manifolds are quaternionic regular and can be endowed with a 4-plectic structure and a generalized moment map. Convexity properties of the image of the moment map are studied. Quaternionic toric manifolds appear to be a large enough class of examples where one can test and study new results in quaternionic geometry.
Tipologia IRIS:
01 - Articolo su periodico
Elenco autori:
G. Gentili, A. Gori, G. Sarfatti
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