A corollary to Kodaira-Spencer's theorem on continuity of eigenvalues

DOI10.1007/BF02782854zbMath0790.58043MaRDI QIDQ1196338

S. Srinivas Rau

Publication date: 9 December 1992

Published in: Israel Journal of Mathematics (Search for Journal in Brave)

zbMATH Keywords

compact Riemann surfacedeterminantLaplaciansfamily of holomorphic vector bundlesunitary flat bundles

Mathematics Subject Classification ID

Spectral problems; spectral geometry; scattering theory on manifolds (58J50) Compact Riemann surfaces and uniformization (30F10) Holomorphic bundles and generalizations (32L05)

Cites Work

• The Selberg trace formula for \(\mathrm{PSL}(2,\mathbb R)\). Vol. I
• Analytic torsion for complex manifolds
• Holomorphic vector bundles on a compact Riemann surface
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