Cusp geometry and the cobordism invariance of the index

Sergiu Moroianu

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Cusp geometry and the cobordism invariance of the index

Sergiu Moroianu

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Abstract

The cobordism invariance of the index on closed manifolds is reproved using the calculus of cusp pseudodifferential operators on a manifold with boundary. More generally, on a compact manifold with corners, the existence of a symmetric cusp differential operator of order 1 and of Dirac type near the boundary implies that the sum of the indices of the induced operators on the hyperfaces is null.

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Sergiu Moroianu. 2004-07-13. Cusp geometry and the cobordism invariance of the index. https://arxiv.org/abs/math/0305395

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