$C^{\infty}$ Stability, Canonical Maps, and Discrete Dynamics
Publication
, Journal Article
Stern, M
October 31, 2014
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.
Duke Scholars
Publication Date
October 31, 2014
Citation
APA
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ICMJE
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Stern, M. (2014). $C^{\infty}$ Stability, Canonical Maps, and Discrete Dynamics.
Stern, Mark. “$C^{\infty}$ Stability, Canonical Maps, and Discrete Dynamics,” October 31, 2014.
Stern M. $C^{\infty}$ Stability, Canonical Maps, and Discrete Dynamics. 2014 Oct 31;
Stern, Mark. $C^{\infty}$ Stability, Canonical Maps, and Discrete Dynamics. Oct. 2014.
Stern M. $C^{\infty}$ Stability, Canonical Maps, and Discrete Dynamics. 2014 Oct 31;
Publication Date
October 31, 2014