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arXiv · 1310.3766

(1,1)-forms acting on Spinors on Kähler Surfaces

Rafael F. Leão
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Abstract

It is known that, for Dirac operators on Riemann surfaces twisted by line bundles with Hermitian-Einstein connections, it is possible to obtain estimates for the first eigenvalue in terms of the topology of the twisting bundle \cite{JL2}. Attempts to generalize topological estimates for higher rank bundles or higher dimensional manifolds have been so far unsuccessful. In this work we construct a class of examples which indicates one problem that arises on such attempts to derive topological estimates.

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Rafael F. Leão. 2013-10-14. (1,1)-forms acting on Spinors on Kähler Surfaces. https://arxiv.org/abs/1310.3766

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