Quantum spectrum
- Quantum spectrum and ambient sector
- The eigenvalues of quantum multiplication by $\mathrm{c}_1(\omega_X^\vee)$ after setting every Novikov variable to $1$. The calculation uses the flag-ambient sector associated with the named ambient variety; this sector can be smaller than the full quantum cohomology of $X$.
- Quantum multiplication matrix
- The exact matrix of the same operator, in the recorded ambient-sector basis.
- Plot and spectral radius
- The axes use equal scales; dot area and optional labels encode algebraic multiplicity. The dashed circle has radius $\max_\lambda|\lambda|$, the spectral radius.
- Exact and numerical data
- The matrix, characteristic polynomial, and minimal polynomial are exact; the eigenvalue coordinates are numerical approximations. “At 1” refers to the Novikov specialization.
- Dependence on the presentation
- The plot stays attached to a fixed reference presentation, whose ambient is named above it. In the current data, eigenvalue sets and minimal polynomials agree within families, while ambient-sector dimensions and multiplicities can differ.