论文标题
拐角处的Orbifolds上的差异形式
Differential forms on orbifolds with corners
论文作者
论文摘要
由象征性几何形状促进，我们详细说明了具有拐角处的Orbifolds上的差异形式和电流，撤回后背和推动的操作及其基本属性。我们在形式主义中工作，在该形式主义中，获得了拐角处的Orbifold类别，作为与角落典型的适当类固醇类别的本地化。构造和证明是根据群体的结构图制定的，避免使用Orbifold图表。差异形式在orbifold上的Fréchet空间显示出独立于典型适当的类固醇以代表Orbifold的双重空间。
Motivated by symplectic geometry, we give a detailed account of differential forms and currents on orbifolds with corners, the pull-back and push-forward operations, and their fundamental properties. We work within the formalism where the category of orbifolds with corners is obtained as a localization of the category of étale proper groupoids with corners. Constructions and proofs are formulated in terms of the structure maps of the groupoids, avoiding the use of orbifold charts. The Fréchet space of differential forms on an orbifold and the dual space of currents are shown to be independent of which étale proper groupoid is chosen to represent the orbifold.
