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arXiv · 1209.6211

Noncommutative Residue and sub-Dirac Operators for Foliations

Jian Wang·Yong Wang
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Abstract

In this paper, we define lower dimensional volumes associated to sub-Dirac operators for foliations. In some cases, we compute these lower dimensional volumes. We also prove the Kastler-Kalau-Walze type theorems for foliations with or without boundary. As a corollary, we give an explanation of the gravitational action for the Robertson-Walker space $[a, b]\times_{f}M^{3}$.

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Jian Wang, Yong Wang. 2012-09-27. Noncommutative Residue and sub-Dirac Operators for Foliations. https://doi.org/10.1063/1.4773878

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