symplectic topology
Symplectic topology studies smooth manifolds equipped with a symplectic structure, which is a geometric structure that generalizes the notion of area and volume. It focuses on the interplay between the geometry and topology of these symplectic manifolds, with a particular emphasis on understanding the behavior of smooth mappings, such as embeddings and immersions, and the properties of Hamiltonian dynamics on these spaces.
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Related Concepts (1)
Similar Concepts
- phase space topology
- quantum symplectic geometry
- simplicial homology
- symplectic capacity
- symplectic embeddings
- symplectic groupoids
- symplectic manifolds
- symplectic reduction
- symplectic transformations
- topological conjugacy
- topological dynamics
- topological semigroups
- topological solitons
- topological transformations
- topology