Lower-Dimensional Volumes and Kastler–Kalau–Walze Type Theorem for Manifolds with Boundary

Lower-Dimensional Volumes and Kastler–Kalau–Walze Type Theorem for Manifolds with Boundary
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DOI:
10.1088/0253-6102/54/1/08
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发表时间:
2009-07
影响因子:
3.1
通讯作者:
Yong Wang
Yong Wang
中科院分区:
物理与天体物理3区
文献类型:
--
作者:
Yong Wang

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本文定义了带边界自旋流形的低维体积。我们计算了5维和6维有边自旋流形的低维体积ε(2,2),并得到了这种情况下的Kastler-Kalau-Walze型定理.
In this paper, we define lower-dimensional volumes of spin manifolds with boundary. We compute the lower-dimensional volume Vol(2,2) for 5-dimensional and 6-dimensional spin manifolds with boundary and we also get the Kastler–Kalau–Walze type theorem in this case.