Introduction to Symplectic Topology¶
McDuff, & Salamon. (2017). Introduction to Symplectic Topology.
Cited by¶
1 citation across 1 artifact.
Each citation links to the sentence it supports in the citing article.
Domain-specific¶
- Symplectic Structure
- Classical mechanics — phase space as a symplectic manifold, with canonical transformations, action–angle variables, Liouville's theorem, and KAM stability all entailed by preservation of ω. Symplectic topology (pure mathematics) — Gromov non-squeezing, pseudoholomorphic curves, Floer homology, and mirror symmetry
This sourceMcDuff and Salamon's Introduction to Symplectic Topology, whose third edition treats J-holomorphic curves and Floer homology among the central results of the field.
Supported in partVerified against the work's full text
“whose [homology] groups are called [Floer] [homology]. These are invariant under deformation and [Floer] proved”
- Classical mechanics — phase space as a symplectic manifold, with canonical transformations, action–angle variables, Liouville's theorem, and KAM stability all entailed by preservation of ω. Symplectic topology (pure mathematics) — Gromov non-squeezing, pseudoholomorphic curves, Floer homology, and mirror symmetry
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