A general Fredholm theory I: a splicing-based differential geometry

• Autores: Helmut Hofer, kris Wysocky, Eduard Zehnder
• Localización: Journal of the European Mathematical Society, ISSN 1435-9855, Vol. 9, Nº 4, 2007, págs. 841-876
• Idioma: inglés
• DOI: 10.4171/jems/99
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• Resumen

  • 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