On the spectrum of the twisted Dolbeault Laplacian over K\"ahler manifolds
classification
🧮 math.DG
keywords
ahlerdolbeaultlaplacianmanifoldstwistedboundbundlescompact
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We use Dirac operator techniques to a establish sharp lower bound for the first eigenvalue of the Dolbeault Laplacian twisted by Hermitian-Einstein connections on vector bundles of negative degree over compact K\"ahler manifolds.
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