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math.AG2016★ 2 cited
A Tannakian approach to dimensional reduction of principal bundles
Luis Álvarez-Cónsul, Indranil Biswas, Oscar García-Prada
Let be a parabolic subgroup of a connected simply connected complex semisimple Lie group . Given a compact Kähler manifold , the dimensional reduction of -equivariant…
math.DG2016
Gravitating vortices and the Einstein--Bogomol'nyi equations
Luis Álvarez-Cónsul, Mario Garcia-Fernandez, Oscar García-Prada +1
In this work we consider the gravitating vortex equations. These equations couple a metric over a compact Riemann surface with a hermitian metric over a holomorphic line bundle equ…