轨形上的广群、丛束和周期磁单极定理

GROUPOID,BUNDLE GERBES AND CALORON CORRESPONDENCE ON ORBIFOLD

证明了每个平凡丛束都是可微广群,将流形上周期磁单极对应推广到轨形上,证明了G主轨丛的回路丛是FréchetLG主丛,并且还在轨形上引入了C×广群、丛束的概念,从而推广了一些流形上的结论.

In this paper, we prove that every trivial bundle gerbe is a differentiable groupoid and generalize the ealoron corresponding to orbifolds. We also prove that the loop bundle of a G principle orbibundle is a Frechet LG-principle bundle, and define notions of Cx groupoids, bundle gerbes on orbifolds. There are generalizations of some results on manifolds.