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New proof of the cobordism invariance of the index |
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| Authors: | Maxim Braverman |
| Affiliation: | Department of Mathematics, Northeastern University, Boston, Massachusetts 02115 |
| Abstract: | We give a simple proof of the cobordism invariance of the index of an elliptic operator. The proof is based on a study of a Witten-type deformation of an extension of the operator to a complete Riemannian manifold. One of the advantages of our approach is that it allows us to treat directly general elliptic operators which are not of Dirac type. |
| Keywords: | Vanishing theorem Clifford bundle Dirac operator Andreotti-Grauert theorem Melin inequality |
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