Table of contents
From Polyfolds.org
Table of contents for Polyfold Constructions for Fukaya Categories
Construction overviews:
- Moduli spaces of pseudoholomorphic polygons
- Regularized moduli spaces
- summary of resulting Floer chain complex (TODO)
Algebra details:
- Novikov ring (TODO)
- Brane structure (TODO)
- Orientations of Cauchy-Riemann sections induced by brane structures (TODO)
Geometry/Topology/Combinatorics details:
- Deligne-Mumford space (Nate-work-in-progress)
- Glued surface (N-TODO .. or replace reference to this in [expansion of expansion in point 7] and Gluing construction for Hamiltonians )
- Compactified Morse trajectory spaces (brief summary with references - could use extension)
- Coherent orientations on the regularized moduli spaces arising from polyfold theory (TODO)
- the polyfold ambient space as a topological space (K-TODO)
- Gromov topology (K-TODO)
- the polyfold ambient bundle as continuous surjection between topological spaces (K-TODO)
- the Cauchy-Riemann section as continuous map (K-TODO)
Analysis details:
- the polyfold smooth structure on the ambient space (J-TODO)
- the polyfold bundle structure of the ambient bundle (J-TODO)
- the polyfold Fredholm property of the Cauchy-Riemann section (J-TODO)
- proof that Gromov compactness implies properness of the Cauchy-Riemann section (TODO)