Convexity properties of generalized moment maps

Research output: Contribution to journalArticle

5 Citations (Scopus)


In this paper, we consider generalized moment maps for Hamiltonian actions on H-twisted generalized complex manifolds introduced by Lin and Tolman [15]. The main purpose of this paper is to show convexity and connectedness properties for generalized moment maps. We study Hamiltonian torus actions on compact H-twisted generalized complex manifolds and prove that all components of the generalized moment map are Bott-Morse functions. Based on this, we shall show that the generalized moment maps have a convex image and connected fibers. Furthermore, by applying the arguments of Lerman, Meinrenken, Tolman, and Woodward [13] we extend our results to the case of Hamiltonian actions of general compact Lie groups on H-twisted generalized complex orbifolds.

Original languageEnglish
Pages (from-to)1171-1204
Number of pages34
JournalJournal of the Mathematical Society of Japan
Issue number4
Publication statusPublished - 1 Oct 2009


  • Convexity properties
  • Generalized complex structures
  • Moment maps

Fingerprint Dive into the research topics of 'Convexity properties of generalized moment maps'. Together they form a unique fingerprint.

  • Cite this