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SUMMARY:Spin(7)-instantons\, the Bogomolov inequality and stable bundles o
 n abelian 4-folds. - Vicente Munoz\, Madrid
DTSTART:20130508T150000Z
DTEND:20130508T160000Z
UID:TALK43710@talks.cam.ac.uk
CONTACT:Ivan Smith
DESCRIPTION:Using gauge theory for Spin(7) manifolds of dimension 8\, we d
 evelop a\nprocedure\, called Spin-rotation\, which transforms (stable) hol
 omorphic structures\non a vector bundle over a complex torus of dimension 
 4 into a new holomorphic\nstructure over a different complex torus. We sho
 w non-trivial examples of this procedure\nby rotating a decomposable Weil 
 abelian variety into a non-decomposable\none. As a byproduct\, we obtain a
  Bogomolov type inequality\, which gives restrictions\nfor the existence o
 f stable bundles on an abelian variety of dimension 4.
LOCATION:MR13
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