A General Fredholm Theory III: Fredholm Functors and Polyfolds

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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.
119 pages, 3 figures

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Functional Analysis, Symplectic Geometry, 46T05,46T99, 53C99, 53D50,53D40,54CXX,58B99, 58D27,58J05

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http://salesiana.dossiersoluciones.com/handle/123456789/170723

Consulte el texto completo en el siguiente enlace:

https://arxiv.org/abs/0810.0736
 http://arxiv.org/abs/0810.0736

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arXiv