Hearing Delzant polytopes from the equivariant spectrum

Emily B. Dryden, Victor Guillemin, Rosa Sena-Dias

Let M^{2n} be a symplectic toric manifold with a fixed T^n-action and with a toric Kähler metric g. Abreu asked whether the spectrum of the Laplace operator ${\Delta }_g$ on $\mathcal{C}^\…