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Spectral geometry of semi-algebraic sets

Mikhael Gromov — 1992

Annales de l'institut Fourier

The spectrum of the Laplace operator on algebraic and semialgebraic subsets $A$ in $R^{N}$ is studied and the number of small eigenvalues is estimated by the degree of $A$ .

Positive scalar curvature and the Dirac operator on complete riemannian manifolds

Mikhael Gromov; H. Blaine Lawson — 1983

Publications Mathématiques de l'IHÉS

The Riemann-Roch theorem for elliptic operators and solvability of elliptic equations with additional conditions on compact subsets

Mikhael Gromov; Mikhail A. Shubin — 1993

Journées équations aux dérivées partielles

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