* Sc-Smoothness, Retractions and New Models for Smooth Spaces (H.Hofer, K.Wysocki, E.Zehnder, 2010) [https://arxiv.org/abs/1002.3381]
 
* Sc-Smoothness, Retractions and New Models for Smooth Spaces (H.Hofer, K.Wysocki, E.Zehnder, 2010) [https://arxiv.org/abs/1002.3381]
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* ''Coherent M-polyfold Theory'' (B.Filippenko, K.Wehrheim) - provides a construction scheme for perturbations of Fredholm problems (with trivial isotropy) whose boundary stratifications are Cartesian products of other Fredholm problems, while preserving transversality and compactness
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* ''Coherent M-polyfold Theory'' (B.Filippenko, K.Wehrheim) - provides a construction scheme for perturbations of Fredholm sections (with trivial isotropy) whose boundary stratifications are Cartesian products of other Fredholm sections, while preserving transversality and compactness
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* ''Sliceable Polyfolds and Constrained Moduli Problem'' (B.Filippenko, K.Wehrheim) - establishes an implicit function theorem for non-Fredholm submersions cutting out 'slices' of finite codimension, proves that restrictions of polyfold Fredholm sections to 'slices' remain Fredholm, and in particular proves that suitably transverse fiber products of Polyfold Fredholm problems are again Polyfold Fredholm.  
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* ''Sliceable Polyfolds and Constrained Moduli Problem'' (B.Filippenko, K.Wehrheim) - establishes an implicit function theorem for non-Fredholm submersions cutting out 'slices' of finite codimension, proves that restrictions of polyfold Fredholm sections to 'slices' remain Fredholm, and in particular proves that suitably transverse fiber products of Polyfold Fredholm sections are again Polyfold Fredholm.  
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* ''Quotients in Polyfold Theory'' (Z.Zhou, K.Wehrheim) - studies Polyfold Fredholm problems that are equivariant under the action of a compact Lie group, constructs equivariant transverse perturbations for actions with finite isotropy and <math>S^1</math> actions with vanishing obstructions, and applies this to prove Arnold conjecture
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* ''Quotients in Polyfold Theory'' (Z.Zhou, K.Wehrheim) - studies Polyfold Fredholm sections that are equivariant under the action of a compact Lie group, constructs equivariant transverse perturbations for actions with finite isotropy and <math>S^1</math> actions with vanishing obstructions, and applies this to prove Arnold conjecture