A general Fredholm theory III: Fredholm functors and polyfolds
A general Fredholm theory III: Fredholm functors and polyfolds
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一般 Fredholm 理论 III：Fredholm 函子和多重折叠
DOI：
10.2140/gt.2009.13.2279
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发表时间：
2008
影响因子：
2
通讯作者：
E. Zehnder
中科院分区：
文献类型：
--
作者：
H. Hofer;K. Wysocki;E. Zehnder
这是致力于在一类称为多折叠的新空间中的一般Fredholm理论的系列论文中的第三篇。我们首先介绍了EP-群胚和多折叠。然后，我们将文[22]中提出的M-多折叠的Fredholm理论推广到更一般的多重折叠环境。弗雷德霍尔姆理论由横截性和微扰理论组成。这些结果为我们应用辛场理论奠定了基础。
This is the third in a series of papers devoted to a general Fredholm theory in a new class of spaces, called polyfolds. We first introduce ep–groupoids and polyfolds. Then we generalize the Fredholm theory, which for M–polyfolds has been presented in our paper [22], to the more general polyfold setting. The Fredholm theory consists of a transversality and a perturbation theory. The results form the basis for our application to Symplectic Field Theory.