Symplectic and Kahler structures on biquotients

Goertsches, Oliver; Konstantis, Panagiotis und Zoller, Leopold (2020): Symplectic and Kahler structures on biquotients. In: Journal of Symplectic Geometry, Bd. 18, Nr. 3: S. 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.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 1527-5256
• Sprache: Englisch