On the spectrum of the twisted Dolbeault Laplacian on line bundles over K\"ahler manifolds
classification
🧮 math.DG
keywords
ahlerbundlesdolbeaultlaplacianlinemanifoldstwistedbound
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We use Dirac operator techniques to establish a sharp lower bound for the first eigenvalue of the twisted Dolbeault Laplacian on holomorphic line bundles over compact K\"ahler manifolds.
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