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FloerComplex

Struct FloerComplex 

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pub struct FloerComplex {
    pub generators: Vec<String>,
    pub differentials: Vec<(usize, usize, i32)>,
}
Expand description

A Floer complex CF*(H) generated by periodic orbits of a Hamiltonian H.

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§generators: Vec<String>

Generators: the periodic Hamiltonian orbits (labelled by Conley-Zehnder index)

§differentials: Vec<(usize, usize, i32)>

Differentials: (source index, target index, count with sign)

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impl FloerComplex

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pub fn new() -> Self

Create a simple Floer complex with two generators (the minimal case).

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pub fn num_generators(&self) -> usize

Number of generators (= number of periodic orbits counted with multiplicity).

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pub fn euler_characteristic(&self) -> i64

Euler characteristic χ = Σ (-1)^k rank CF^k(H). By the Arnold conjecture, χ(M) ≤ #(1-periodic orbits).

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impl Default for FloerComplex

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fn default() -> Self

Returns the “default value” for a type. Read more

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impl<T> Any for T
where T: 'static + ?Sized,

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fn borrow(&self) -> &T

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impl<T> BorrowMut<T> for T
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fn borrow_mut(&mut self) -> &mut T

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impl<T> From<T> for T

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fn from(t: T) -> T

Returns the argument unchanged.

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impl<T, U> Into<U> for T
where U: From<T>,

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fn into(self) -> U

Calls U::from(self).

That is, this conversion is whatever the implementation of From<T> for U chooses to do.

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impl<T, U> TryFrom<U> for T
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type Error = Infallible

The type returned in the event of a conversion error.
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fn try_from(value: U) -> Result<T, <T as TryFrom<U>>::Error>

Performs the conversion.
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impl<T, U> TryInto<U> for T
where U: TryFrom<T>,

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type Error = <U as TryFrom<T>>::Error

The type returned in the event of a conversion error.
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fn try_into(self) -> Result<U, <U as TryFrom<T>>::Error>

Performs the conversion.