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arXiv · 1211.6223

The Kastler-Kalau-Walze type theorem for 6-dimensional manifolds with boundary

Jian Wang·Yong Wang
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Abstract

In this paper, we define lower dimensional volumes of spin manifolds with boundary. We compute the lower dimensional volume ${\rm Vol}_{6}^{(1,3)}$ for 6-dimensional spin manifolds with boundary and the gravity on boundary is derived by the noncommutative residue associated with Dirac operators.For 6-dimensional manifolds with boundary, we also get a Kastler-Kalau-Walze type theorem for a general fourth order operator.

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BibTeXRIS

Jian Wang, Yong Wang. 2012-11-27. The Kastler-Kalau-Walze type theorem for 6-dimensional manifolds with boundary. https://arxiv.org/abs/1211.6223

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