A general Fredholm theory I: A splicing-based differential geometry
A general Fredholm theory I: A splicing-based differential geometry
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一般 Fredholm 理论 I：基于拼接的微分几何
DOI：
10.4171/jems/99
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发表时间：
2006
影响因子：
2.6
通讯作者：
E. Zehnder
中科院分区：
文献类型：
--
作者：
H. Hofer;K. Wysocki;E. Zehnder
这是在一类称为多折叠的光滑空间中引入广义Fredholm型理论的系列文章中的第一篇。一般而言，这些空间局部地不同于Banach空间中的开集。本文刻画了这类新空间的一些微分几何。这一理论将在接下来的论文中通过对Floer理论、Gromov-Witten理论和辛场理论的应用来说明
This is the first paper in a series introducing a generalized Fredholm theory in a new class of smooth spaces called polyfolds. These spaces, in general, are locally not homeomorphic to open sets in Banach spaces. The present paper describes some of the differential geometry of this new class of spaces. The theory will be illustrated in upcoming papers by applications to Floer Theory, Gromov-Witten Theory, and Symplectic Field Theory