Symplectic and Kähler structures on biquotients

2018/12/23 by Goertsches, Oliver, Konstantis, Panagiotis, Zoller, Leopold · 1 citation
#Differential Geometry (math.DG) #FOS: Mathematics #Symplectic Geometry (math.SG)

paper · doi:10.48550/arxiv.1812.09689

Abstract

We construct symplectic structures on roughly half of all equal rank biquotients of the form G//T, where G is a compact simple Lie group and T a torus, and investigate Hamiltonian Lie group actions on them. For the Eschenburg flag, this action has similar properties as Tolman's and Woodward's examples of Hamiltonian non-Kähler actions. In addition to the previously known Kähler structure on the Eschenburg flag, we find another Kähler structure on a biquotient SU(4)//T³.

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