This is an expository paper about the index of Toeplitz operators, and in particular Boutet de Monvel’s theorem [5]. We prove Boutet de Monvel’s theorem as a corollary of Bott periodicity, and independently of the Atiyah-Singer index theorem.

中文翻译：

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Toeplitz算子的指数定理作为Bott周期的推论

这是一篇有关Toeplitz算子索引的说明性论文，尤其是有关Boutet de Monvel定理[5 ]。我们证明Boutet de Monvel定理是Bott周期的推论，并且独立于Atiyah-Singer指数定理。