Reduction of twisted generalized Kähler structure

2005/10/01 by Yi Lin, Lin, Yi, Susan Tolman +1
Mathematics · Physics and Astronomy · #53C15 #53D20 #Differential Geometry (math.DG) #FOS: Mathematics #FOS: Physical sciences #Geometry and complex manifolds #Homotopy and Cohomology in Algebraic Topology #Mathematical Physics (math-ph) #Nonlinear Waves and Solitons #Symplectic Geometry (math.SG)

paper · pdf · doi:10.48550/arxiv.math/0510010

openalex publication_date 2005/10/01 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28

Abstract

We show that our earlier work in \citeLT05 extends to the twisted case, that is, we defined a notion of moment map and reduction in both twisted generalized complex geometry and twisted generalized Kähler geometry.

Citations

• Generalized Complex Geometry

Related

• Twist, elementary deformation, and KK correspondence in generalized complex geometry
• Hamiltonian symmetries and reduction in generalized geometry
• Generalized geometry and the Hodge decomposition
• Generalized scalar curvature and modified moment map in generalized Kähler geometry
• Moment maps and geometric invariant theory