Boutet de Monvel, Louis Nombre de valeurs propres d’un opérateur elliptique et polynôme de Hilbert-Samuel [ d’apres V. Guillemin ]. (French) Zbl 0431.58016 Sémin. Bourbaki, 31e année, 1978/79, Exp. No. 532, Lect. Notes Math. 770, 120-131 (1980). Reviewer: Steven G. Krantz (St. Louis) Page: −5 −4 −3 −2 −1 ±0 +1 +2 +3 +4 +5 Show Scanned Page Cited in 1 Document MSC: 58J10 Differential complexes 58J20 Index theory and related fixed-point theorems on manifolds 58J35 Heat and other parabolic equation methods for PDEs on manifolds 47B35 Toeplitz operators, Hankel operators, Wiener-Hopf operators 16W50 Graded rings and modules (associative rings and algebras) Keywords:asymptotic behavior of the eigenvalues of an elliptic operator; heat equation approach to the index theorem; symplectic structure; contact manifolds; Toeplitz operators modeled on an elliptic complex; multiplicity of an eigenvalue of a Toeplitz operator; first Betti number; Hilbert-Samuel polynomial of a graded algebra Citations:Zbl 0415.00006 PDFBibTeX XML Full Text: Numdam EuDML