Symbolic calculus for Toeplitz operators with half-form

Charles, Laurent

J. Symplectic Geom., Tome 4 (2006) no. 1, p. 171-198 / Harvested from Project Euclid

Résumé

This paper is devoted to the use of half-form bundles in the symbolic calculus of Berezin–Toeplitz operators on Kähler manifolds. We state the Bohr–Sommerfeld conditions and relate them to the functional calculus of Toeplitz operators, a trace formula and the characteristic classes in deformation quantization. We also develop the symbolic calculus of Lagrangian sections, with the crucial estimates of the subprincipal terms.

Publié le : 2006-06-14
Classification: 58Jxx, 47B35, 47G30, 53Dxx

@article{1175790956,
     author = {Charles, Laurent},
     title = {Symbolic calculus for Toeplitz operators with half-form},
     journal = {J. Symplectic Geom.},
     volume = {4},
     number = {1},
     year = {2006},
     pages = { 171-198},
     language = {en},
     url = {http://dml.mathdoc.fr/item/1175790956}
}

Charles, Laurent. Symbolic calculus for Toeplitz operators with half-form. J. Symplectic Geom., Tome 4 (2006) no. 1, pp.  171-198. http://gdmltest.u-ga.fr/item/1175790956/