New Proof of the Cobordism Invariance of the Index

نویسنده

  • MAXIM BRAVERMAN
چکیده

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 to treat directly general elliptic operator which are not of Dirac type.

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تاریخ انتشار 2002