3 problems

Discrete-spectrum and trace-class property. The operator $\mathsf{O}_{\mathbb{P}^2}$ has a discrete spectrum, and its inverse $\rho$ is trace class.

Quantum corrected volume conjecture. The quantum corrected volume is obtained from the classical volume by replacing $\kappa$ with the quantum mirror map, together with a contribut…

Grassi–Hatsuda–Mariño conjecture. Provided the mass parameters $\xi_i$ satisfy suitable positivity conditions, the inverse operator $\rho_S$ acting on $L^2(\mathbb{R})$ is trace cl…