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Marcos Jardim : On the spectrum of the Dirac operator and the Dolbeault Laplacian on Kahler manifolds (Nov 4, 2008 4:25 PM)

There exists a large literature on lower bounds for the spectrum of the Dirac operator and the de Rham Laplacian on Riemannian manifolds. In this talk, we will consider the twisted Dirac operator and the twisted Dolbeault Laplacian on Kahler manifolds, and study how the spectrum changes with the coupling connection. We give lower bounds for their spectrum, showing that they are attained in the case of Riemann surfaces. This is joint work with Rafael F. Leao. The talk will be based on those two preprints, 0807.0813 and 0706.0878

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