Article ID | Journal | Published Year | Pages | File Type |
---|---|---|---|---|
9518101 | Advances in Mathematics | 2005 | 16 Pages |
Abstract
The cobordism invariance of the index on closed manifolds is reproved using the calculus Ψc 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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Physical Sciences and Engineering
Mathematics
Mathematics (General)
Authors
Sergiu Moroianu,