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The spinorial $\tau$-invariant and 0-dimensional surgery
Let $M$ be a compact manifold with a metric $g$ and with a fixed spin structure $\chi$. Let $\lambda_1^+(g)$ be the first non-negative eigenvalue of the Dirac operator... -
Spectral properties of Dirac operators with strong magnetic fields
We study bidimensional Dirac operator with magnetic fields which grow unboundedly at infinity. The spectrum of such operator is composed only of eigenvalues and in...
