Struct BRSTComplex 

pub struct BRSTComplex {
    pub cochains: Vec<Vec<f64>>,
    pub differentials: Vec<Vec<Vec<f64>>>,
}

A simple cochain complex representing a truncated BRST complex.

Stores cohomology-degree cochains as vectors of real numbers. The BRST differential Q increases ghost number by 1.

Fields

cochains: Vec<Vec<f64>>

Cochains at each ghost number 0, 1, 2, …

differentials: Vec<Vec<Vec<f64>>>

The differential matrix Q[k] : C^k → C^{k+1}.

Implementations

impl BRSTComplex

pub fn new(dims: Vec<usize>) -> Self

Create a zero BRST complex with given dimensions at each degree.

pub fn apply_differential(&self, k: usize, v: &[f64]) -> Vec<f64>

Apply the differential Q at degree k: (Qv)[i] = Σ_j Q[k][i][j] * v[j].

pub fn check_nilpotency(&self, k: usize, eps: f64) -> bool

Check nilpotency Q² = 0 at degree k (||Q_{k+1} Q_k||_F < ε).

pub fn euler_characteristic(&self) -> i64

Compute the Euler characteristic χ = Σ (-1)^k dim C^k.

pub fn dimensions(&self) -> Vec<usize>

Return the dimensions of the cochain spaces.

Trait Implementations

impl Clone for BRSTComplex

fn clone(&self) -> BRSTComplex

Returns a duplicate of the value.

fn clone_from(&mut self, source: &Self)

Performs copy-assignment from source.

impl Debug for BRSTComplex

fn fmt(&self, f: &mut Formatter<'_>) -> Result

Formats the value using the given formatter.