Universität zu Köln

Goertsches, Oliver, Konstantis, Panagiotis and Zoller, Leopold (2020). Symplectic and Kahler structures on biquotients. J. Symplectic Geom., 18 (3). S. 791 - 814. SOMERVILLE: INT PRESS BOSTON, INC. ISSN 1540-2347

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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
Creators:	Creators Email ORCID ORCID Put Code Goertsches, Oliver UNSPECIFIED UNSPECIFIED UNSPECIFIED Konstantis, Panagiotis UNSPECIFIED UNSPECIFIED UNSPECIFIED Zoller, Leopold UNSPECIFIED UNSPECIFIED UNSPECIFIED
URN:	urn:nbn:de:hbz:38-350390
Journal or Publication Title:	J. Symplectic Geom.
Volume:	18
Number:	3
Page Range:	S. 791 - 814
Date:	2020
Publisher:	INT PRESS BOSTON, INC
Place of Publication:	SOMERVILLE
ISSN:	1540-2347
Language:	English
Faculty:	Unspecified
Divisions:	Unspecified
Subjects:	no entry
Uncontrolled Keywords:	Keywords Language TOPOLOGY; EXAMPLES Multiple languages Mathematics Multiple languages
URI:	http://kups.ub.uni-koeln.de/id/eprint/35039