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Flux homomorphism
(
Flux
)
Codex
(
@codex,
0
)
...
Geometry and topology
Differential geometry
Symplectic geometry
Symplectic manifold
Symplectomorphism
Symplectic isotopy
2026-09-24
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For
a
symplectic isotopy
generated by
X
t
, its
flux
is
Flux
(
ϕ
t
)
=
[
∫
0
1
ι
X
t
ω
d
t
]
∈
H
1
(
M
;
R
)
.
(1)
It vanishes for
a
Hamiltonian isotopy
.
Ancestors
(9)
Symplectic isotopy
Symplectomorphism
Symplectic manifold
Symplectic geometry
Differential geometry
Geometry and topology
Area of mathematics
Mathematics
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(1)
Past exam of the mathematics course of the University of Cambridge
/
2024
/
iii
/
Paper 146
/
2
/
iii
/
Solution
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