Math @ Duke
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Publications [#340298] of Mark A. Stern
Papers Published
- 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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dept@math.duke.edu
ph: 919.660.2800
fax: 919.660.2821
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Mathematics Department
Duke University, Box 90320
Durham, NC 27708-0320
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