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arxiv: 1512.05479 · v3 · pith:2V3JNEJUnew · submitted 2015-12-17 · 🧮 math.DG

An equivariant Kastler-Kalau-Walze type theorem

classification 🧮 math.DG
keywords theoremequivariantkastler-kalau-walzetypeboundarydimensionalmanifoldsspin
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In this paper, we prove an equivariant Kastler-Kalau-Walze type theorem for spin manifolds without boundary. For $6$ dimensional spin manifolds with boundary, we also give an equivariant Kastler-Kalau-Walze type theorem. Then we generalize this theorem to the general $n$ dimensional manifold. An equivariant Kastler-Kalau-Walze type theorem with torsion is also proved.

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