Symplectic isotopy

A symplectic isotopy is a smooth path

ϕ_{t}

of symplectomorphisms beginning at the identity.

Table of contents
- Flux homomorphism Symplectic isotopy

Flux homomorphism ( $Flux$ )

For a symplectic isotopy generated by

X_{t}

, its flux is

Flux (ϕ_{t}) = [\int_{0}^{1} ι_{X_{t}} ω d t] \in H^{1} (M; R) .

It vanishes for a Hamiltonian isotopy.

 Ancestors (8)

 Incoming links (3)

Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 146 / 2 / iii / Solution
Past exam of the mathematics course of the University of Cambridge / 2024 / iii / Paper 146 / 2 / ii / Solution
Symplectic non-displaceability of an area bisector

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