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arxiv: 1807.11017 · v1 · pith:GHM6UAY3new · submitted 2018-07-29 · 🧮 math.DG

Perturbations of Dirac Operators and A KKW Type Theorem for Five Dimensional Manifolds with Boundary

classification 🧮 math.DG
keywords boundarydimensionalmanifoldsdiracfiveoperatorsperturbationstheorem
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In this paper, we define lower dimensional volumes of compact Riemannian manifolds with boundary. For five dimensional spin manifolds with boundary, we prove a Kastler-Kalau-Walze type theorem associated with one-form perturbations of Dirac operators in this case.

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