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

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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.

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