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Gromov norm and geometric structures

Posted in
Shi Wang
Michigan State University/MPIM
Mon, 10/07/2023 - 15:00 - 16:00
MPIM Lecture Hall
Parent event: 
MPIM Topology Seminar


Given a topological manifold, the Gromov norm of a singular real homology class measures certain topological complexity. When further equipped with a Riemannian structure, the ''least area norm'' measures its geometric complexity. We propose to study the comparison between the two norms, in order to understand when a given topological manifold admits a certain geometric structure. We also give some examples to justify this approach.

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