Universität Augsburg
Institut für Mathematik

Siegel der Universität Augsburg


Oberseminar Differentialgeometrie


Dr. Leopold Zoller

spricht am
Montag, 15. Juni 2020
16:00 Uhr
über das Thema:

»Realization of GKM fibrations and new examples of Hamiltonian non-Kähler actions«

In the mid 90s, Tolman gave a remarkable example of a Hamiltonian torus action in dimension 6 which does not admit a compatible Kähler structure. We will analyse this example from the point of view of GKM theory, which associates to certain manifolds a labelled graph. In dimension 6, it turns out that the graph determines the manifold up to diffeomorphism, which lets us identify Tolman’s example as Eschenburg’s twisted flag. Conversely, we give a construction which realizes graph fibrations in dimension 6 through fiber bundles. As a consequence, we see that Tolman’s example is part of a large family of manifolds whose graphs enjoy similar properties. By relating properties of the graphs to geometric structures, we find many more examples of Hamiltonian non-Kähler actions. This is joint work with Oliver Goertsches and Panagiotis Konstantis.


Hierzu ergeht herzliche Einladung.
Prof. Dr. Bernhard Hanke

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