论文标题
Toeplitz运营商的索引定理作为Botts Priceicity的必然
The Index Theorem for Toeplitz Operators as a Corollary of Bott Periodicity
论文作者
论文摘要
这是有关Toeplitz运营商索引的说明性论文,尤其是Boutet de Monvel定理。我们证明了Boutet de Monvel的定理是Botts Priceicity的推论,并且独立于Atiyah-Singer索引定理。
This is an expository paper about the index of Toeplitz operators, and in particular Boutet de Monvel's theorem. We prove Boutet de Monvel's theorem as a corollary of Bott periodicity, and independently of the Atiyah-Singer index theorem.