Symmetries in generalized Kähler geometry

Yi Lin, Susan Tolman

Research output: Contribution to journalArticlepeer-review


We define the notion of a moment map and reduction in both generalized complex geometry and generalized Kähler geometry. As an application, we give very simple explicit constructions of bi-Hermitian structures on ℂdouble struck P signN, Hirzebruch surfaces, the blow up of ℂdouble struck P signN at arbitrarily many points, and other toric varieties, as well as complex Grassmannians.

Original languageEnglish (US)
Pages (from-to)199-222
Number of pages24
JournalCommunications in Mathematical Physics
Issue number1
StatePublished - Nov 2006

ASJC Scopus subject areas

  • Statistical and Nonlinear Physics
  • Mathematical Physics


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