A General Fredholm Theory II: Implicit Function Theorems

Abstract

This is the revised version of the second paper in a series introducing a generalized Fredholm theory in a new class of smooth spaces called polyfolds. The theory will be illustrated in upcoming papers by applications to Floer Theory, Gromov-Witten Theory and Symplectic Field Theory. Some proofs have been improved and a glossary added.

102 pages, 3 figures

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• A General Fredholm Theory I: A Splicing-Based Differential Geometry
• A General Fredholm Theory III: Fredholm Functors and Polyfolds
• Isotopies of Legendrian 1-knots and Legendrian 2-tori
• Gravitational Descendants and Linearized Contact Homology
• Hamiltonian partial differential equations and symplectic scale manifolds
• A note on Reeb dynamics on the tight 3-sphere