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- W3201655852 abstract "We consider a compact Riemannian manifold with a Hermitian line bundle whose curvature is non degenerate. Under a general condition, the Laplacian acting on high tensor powers of the bundle exhibits gaps and clusters of eigenvalues. We prove that for each cluster, the number of eigenvalues that it contains, is given by a Riemann-Roch number. We also give a pointwise description of the Schwartz kernel of the spectral projectors onto the eigenstates of each cluster, similar to the Bergman kernel asymptotics of positive line bundles. Another result is that gaps and clusters also appear in local Weyl laws." @default.
- W3201655852 created "2021-09-27" @default.
- W3201655852 creator A5048307192 @default.
- W3201655852 date "2021-09-12" @default.
- W3201655852 modified "2023-09-27" @default.
- W3201655852 title "On the spectrum of non degenerate magnetic Laplacian" @default.
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