Lectures on Polyfolds and Symplectic Field Theory
arXiv:1808.07147
Abstract
This is a lecture note prepared for the SFT 9 workshop in Augsburg, Germany. The text describes a polyfold approach to the construction of symplectic field theory and focuses on the perturbation and transversality theory.
arXiv comment134 pages and 27 figures
References in corpus (16)
- Virtual moduli cycles and Gromov-Witten invariants of general symplectic manifolds
- Relative asymptotic behavior of pseudoholomorphic half-cylinders
- Contact homology and virtual fundamental cycles
- Intersection theory of punctured pseudoholomorphic curves
- Technical details on Kuranishi structure and virtual fundamental chain
- Lectures on Symplectic Field Theory
- Smooth Kuranishi atlases with isotropy
- Kuranishi structure, Pseudo-holomorphic curve, and Virtual fundamental chain: Part 1
- Semi-global Kuranishi charts and the definition of contact homology
- Applications of Polyfold Theory I: The Polyfolds of Gromov-Witten Theory
- Kuranishi structure, Pseudo-holomorphic curve, and virtual fundamental chain: Part 2
- The polyfold--Kuranishi correspondence I: A choice-independent theory of Kuranishi structures
- Counterexamples in Scale Calculus
- Virtual harmony
- Polyfold and SFT Notes I: A Primer on Polyfolds and Construction Tools
- Polyfold and SFT Notes II: Local-Local M-Polyfold Constructions