%0 Journal Article
%T Semiclassical inverse spectral theory for singularities of focus-focus type
%A ¨¢lvaro Pelayo
%A San V£¿ Ngoc
%J Mathematics
%D 2013
%I arXiv
%R 10.1007/s00220-014-1998-9
%X We prove, assuming that the Bohr-Sommerfeld rules hold, that the joint spectrum near a focus-focus critical value of a quantum integrable system determines the classical Lagrangian foliation around the full focus-focus leaf. The result applies, for instance, to h-pseudodifferential operators, and to Berezin-Toeplitz operators on prequantizable compact symplectic manifolds.
%U http://arxiv.org/abs/1302.2260v1