Integration theory on the zero sets of polyfold Fredholm sections
Integration theory on the zero sets of polyfold Fredholm sections
复制标题
多折 Fredholm 截面零集的积分理论
DOI：
10.1007/s00208-009-0393-x
复制
发表时间：
2007
影响因子：
1.4
通讯作者：
E. Zehnder
中科院分区：
文献类型：
--
作者：
H. Hofer;K. Wysocki;E. Zehnder
我们构造了定向分支ep-子群胚上sc-微分形式的积分理论，Stokes定理对它成立。该结构与ep-广群胚之间的等价相容，从而产生了多折叠的分支子orbifolds的积分理论。例子是解决方案集的适当定向Fredholm部分强polyfold丛，我们获得不变量的这种方式。
We construct an integration theory for sc-differential forms on oriented branched ep-subgroupoid for which Stokes’ theorem holds true. The construction is compatible with equivalences between ep-groupoids and so gives rise to an integration theory for branched suborbifolds of polyfolds. Examples are the solutions sets of proper oriented Fredholm sections of strong polyfold bundles for which we obtain invariants this way.