Polyfold and Fredholm Theory

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Helmut Hofer , Krzysztof Wysocki , Eduard Zehnder This is my paper · ORCID

classification math.FAmath.DGmath.SG

keywords fredholmpolyfoldtheoryreferencevolume

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This is a reference volume on polyfold and Fredholm theory.

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Reviewed papers in the Pith corpus that reference this work. Sorted by Pith novelty score. Full citation record

$L_{\infty}$-Kuranishi spaces and the moduli space of pseudoholomorphic disks
math.SG 2025-11 conditional novelty 6.0 of 10

The moduli space of pseudoholomorphic disks is given a new 'L∞-Kuranishi space' structure — but only under an unproved Whitney-stratification/tubular-neighborhood assumption on each chart.
Loop space blow-up and scale calculus
math.SG 2025-09 accept novelty 6.0 of 10

The Barutello-Ortega-Verzini regularization map on the smooth loop space is scale smooth.
Floerfolds and Floer functions
math.SG 2025-01 conditional novelty 6.0 of 10

Floer functions can be defined intrinsically on Floerfolds because they pull back under Floeromorphisms, making the Fredholm-Hessian property chart-independent.