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A
general Fredholm theory III: Fredholm functors and
polyfolds
Helmut Hofer, Kris Wysocki and Eduard Zehnder |
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Geometry & Topology 13 (2009) 2279–2387
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Abstract |
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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 [Geom. Funct. Anal. 18 (2009)], 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. |
Keywords
ep-groupoid, polyfold, branched suborbifold, strong
polyfold bundle, Fredholm section of polyfold bundle
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Mathematical Subject Classification 2000
Primary: 58B99, 58C99
Secondary: 46T99, 57R17
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References |
Publication
Received: 4 October 2008
Accepted: 22 April 2009
Published: 4 June 2009
Proposed: Leonid Polterovich
Seconded: Yasha Eliashberg, Danny Calegari
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Authors |
| Helmut Hofer | |
| Courant Institute New York University 251 Mercer Street New York, 10012 USA |
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| Kris Wysocki | |
| Mathematics Department Penn State University University Park State College, PA 16802 USA |
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| Eduard Zehnder | |
| Department of Mathematik ETH-Zentrum CH 8092 Zürich Switzerland |
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