RT Journal Article
T1 Spin(7)-instantons, stable bundles and the Bogomolov inequality for complex 4-tori
A1 Muñoz, Vicente
AB Using gauge theory for Spin(7) manifolds of dimension 8, we develop a procedure, called Spin-rotation, which transforms a (stable) holomorphic structure 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, and show examples in which this is stronger than the usual Bogomolov inequality.
PB Elsevier
SN 0021-7824
YR 2014
FD 2014-07
LK https://hdl.handle.net/20.500.14352/33617
UL https://hdl.handle.net/20.500.14352/33617
LA eng
DS Docta Complutense
RD 27 abr 2025