A General Fredholm Theory III: Fredholm Functors and Polyfolds

dc.creatorHofer, Helmut
dc.creatorWysocki, Kris
dc.creatorZehnder, Eduard
dc.date2008-10-03
dc.date.accessioned2026-07-07T10:07:40Z
dc.date.available2026-07-07T10:07:40Z
dc.descriptionWe 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.
dc.description119 pages, 3 figures
dc.identifierhttps://arxiv.org/abs/0810.0736
dc.identifierhttp://arxiv.org/abs/0810.0736
dc.identifier.urihttp://salesiana.dossiersoluciones.com/handle/123456789/170723
dc.subjectFunctional Analysis
dc.subjectSymplectic Geometry
dc.subject46T05,46T99, 53C99, 53D50,53D40,54CXX,58B99, 58D27,58J05
dc.titleA General Fredholm Theory III: Fredholm Functors and Polyfolds
dc.typetext

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