Table of contents

Table of contents for Polyfold Constructions for Fukaya Categories

Construction overviews:

• Moduli spaces of pseudoholomorphic polygons
• Regularized moduli spaces (Katrin-work-in-progress)
• summary of resulting Floer chain complex (TODO)

Algebra details:

• Novikov ring (TODO)
• Brane structure (TODO)
  • Grading induced by brane structures (TODO)

Geometry/Topology/Combinatorics details:

• Deligne-Mumford space (Nate-work-in-progress)
  • glued surface
• compactified Morse trajectory spaces (stump with references)
• Coherent orientations on the regularized moduli spaces

Analysis details:

• gluing construction for Hamiltonian perturbations (TODO)
• Gromov topology (TODO)