Spin(7)-instantons, the Bogomolov inequality and stable bundles on abelian 4-folds.

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• Vicente Munoz, Madrid
• Wednesday 08 May 2013, 16:00-17:00
• MR13.

If you have a question about this talk, please contact Ivan Smith.

Using gauge theory for Spin(7) manifolds of dimension 8, we develop a procedure, called Spin-rotation, which transforms (stable) holomorphic structures on a vector bundle over a complex torus of dimension 4 into a new holomorphic structure over a different complex torus. We show non-trivial examples of this procedure by rotating a decomposable Weil abelian variety into a non-decomposable one. As a byproduct, we obtain a Bogomolov type inequality, which gives restrictions for the existence of stable bundles on an abelian variety of dimension 4.

This talk is part of the Differential Geometry and Topology Seminar series.

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