Scholarlink

In this chapterLocal index formula we present a proof of the Connes–Moscovici index formula, expressing the index of a (twisted) operator D in a spectral tripleSpectral triple  \((\mathcal {A},\mathcal {H},D)\) by a local formula. First, we illustrate the contents of this chapter in the context of two examples in the odd and even case: the index on the circle and on the torus.

错误：搜索内容不能为空，请输入英文关键词
错误：关键词超出字数限制，请精简
高级检索

The Local Index Formula in Noncommutative Geometry

  • 章节

  • 出版模式：

    开放获取

  • 发表日期：

    2025年

查看全文
  • Walter D. van Suijlekom

摘要

In this chapterLocal index formula we present a proof of the Connes–Moscovici index formula, expressing the index of a (twisted) operator D in a spectral tripleSpectral triple  \((\mathcal {A},\mathcal {H},D)\) by a local formula. First, we illustrate the contents of this chapter in the context of two examples in the odd and even case: the index on the circle and on the torus.