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Publications [#340298] of Mark A. Stern

Papers Published

  1. Stern, M, $C^{\infty}$ Stability, Canonical Maps, and Discrete Dynamics (October, 2014) (arXiv:1410.8851.)
    (last updated on 2024/03/28)

    Abstract:
    We study a discrete dynamical system designed to find a 'most holomorphic' connection on a smooth complex vector bundle $E$. We examine the relation between the distance of the chern classes of $E$ from the $(p,p)$ axis of the Hodge diamond and singularity formation. Canonical connections and canonical metrics pulled back from Grassmannians play a major role, and we review their differential geometry. As an exercise in the geometry of canonical connections, we include an expression for the curvature in terms of heat kernels.

 

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