GKM theory and Hamiltonian non-Kahler actions in dimension 6

Goertsches, Oliver; Konstantis, Panagiotis und Zoller, Leopold (2020): GKM theory and Hamiltonian non-Kahler actions in dimension 6. In: Advances in Mathematics, Bd. 368, 107141

Abstract

Using the classification of 6-dimensional manifolds by Wall, Jupp and Zubr, we observe that the diffeomorphism type of simply-connected, compact 6-dimensional integer GKM T-2-manifolds is encoded in their GKM graph. As an application, we show that the 6-dimensional manifolds on which Tolman and Woodward constructed Hamiltonian, non-Kahler T-2-actions with finite fixed point set are diffeomorphic to Eschenburg's twisted flag manifold SU(3)//T-2. In particular, they admit a noninvariant Kahler structure.

• Dokumententyp: Zeitschriftenartikel
• Fakultät: Mathematik, Informatik und Statistik > Mathematik
• Themengebiete: 500 Naturwissenschaften und Mathematik > 510 Mathematik
• ISSN: 0001-8708
• Sprache: Englisch