Struct CharacteristicClassComputer 

pub struct CharacteristicClassComputer {
    pub chern_roots: Vec<f64>,
}

Computes characteristic class numbers for a vector bundle represented as its Chern character data.

Uses the splitting principle: the total Stiefel–Whitney class (mod 2) and Pontryagin class are computed from the eigenvalues of the curvature matrix.

Fields

chern_roots: Vec<f64>

Formal Chern roots (eigenvalues of curvature / 2πi), stored as f64.

Implementations

impl CharacteristicClassComputer

pub fn new(chern_roots: Vec<f64>) -> Self

Create from a list of formal Chern roots.

pub fn total_chern_class(&self) -> Vec<f64>

Total Chern class c(E) = ∏(1 + x_i) expanded as elementary symmetric polynomials.

Returns the coefficients c_0, c_1, …, c_n of the total Chern class.

pub fn chern_character(&self, max_deg: usize) -> Vec<f64>

Chern character ch(E) = ∑ exp(x_i): returns partial sums up to degree max_deg.

pub fn euler_number(&self) -> f64

Euler characteristic (integral of the top Chern class over a manifold of the same dimension). For a rank-r bundle over a 2r-manifold this is c_r.