Torus invariant transverse Kähler foliations

Ishida, Hiroaki

doi:10.1090/tran/7070

Torus invariant transverse Kähler foliations
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Trans. Amer. Math. Soc. 369 (2017), 5137-5155 Request permission

Abstract:

In this paper, we show the convexity of the image of a moment map on a transverse symplectic manifold equipped with a torus action under a certain condition. We also study properties of moment maps in the case of transverse Kähler manifolds. As an application, we give a positive answer to the conjecture posed by Cupit-Foutou and Zaffran.

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