广义Fredholm理论III：Fredholm函子与多重折叠
A General Fredholm Theory III: Fredholm Functors and Polyfolds
摘要：
我们描述了一个非常普遍的（非线性）Fredholm理论的一类新的环境空间，称为polyfolds。这些新空间的基本特征是，一般来说，它们可能具有局部变化的维数。这些新的空间是需要一个功能分析处理的非线性问题，涉及分析的极限行为。该理论适用于Gromov-Witten和Floer理论以及辛域论。
英文摘要：
We describe a very general (nonlinear) Fredholm theory for a new class of ambient spaces, called polyfolds. The basic feature of these new spaces is that in general they may have locally varying dimensions. These new spaces are needed for a functional analytic treatment of nonlinear problems involving analytic limiting behavior. This theory is applicable to Gromov-Witten and Floer Theory as well as Symplectic Field Theory.
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