论文标题
Hyperkähler锥和激发量QuaternionicKähler歧管
Hyperkähler cones and instantons on quaternionic Kähler manifolds
论文作者
论文摘要
我们基于在Hyperkähler歧管上构造激体构建激体空间的方法的扩展,提出了一种对Quaternionickähler歧管的Yang-Mills Instantons研究的新方法。我们的结果在QuaternionicKähler上的intsantons的局部等效类别之间建立了两者的培养,并在适当的Sl_2(c)捆绑上的某些全态图的M和等效类别。
We present a novel approach to the study of Yang-Mills instantons on quaternionic Kähler manifolds, based on an extension of the harmonic space method of constructing instantons on hyperkähler manifolds. Our results establish a bijection between local equivalence classes of instantons on quaternionic Kähler manifolds M and equivalence classes of certain holomorphic maps on an appropriate SL_2(C)-bundle over the Swann bundle of M.