Symplectic and Kahler structures on biquotients

Goertsches, Oliver; Konstantis, Panagiotis; Zoller, Leopold (2020): Symplectic and Kahler structures on biquotients. In: Journal of Symplectic Geometry, Vol. 18, No. 3: pp. 791-813

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-Kahler actions. In addition to the previously known Kahler structure on the Eschenburg flag, we find another Kahler structure on a biquotient SU(4)//T-3.

• Item Type: Journal article
• Faculties: Mathematics, Computer Science and Statistics > Mathematics
• Subjects: 500 Science > 510 Mathematics
• ISSN: 1527-5256
• Language: English