Convexity properties for generalized moment maps I

Abstract

We study generalized moment maps for a Hamiltonian action on a connected compact $H$-twisted generalized complex manifold introduced by Lin and Tolman and prove the convexity and connectedness properties of the generalized moment maps for a Hamiltonian torus action.

12pages

References in corpus (2)

• Symmetries in generalized Kähler geometry
• Generalized geometry, equivariant $\bar{\partial }\partial$-lemma, and torus actions

Cited by in corpus (3)

• Topology of generalized complex quotients
• The GIT aspect of generalized K$\ddot{a}$hler reduction. I
• Generalized complex hamiltonian torus actions: Examples and constraints