New Proof of the Cobordism Invariance of the Index

Maxim Braverman

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New Proof of the Cobordism Invariance of the Index

Maxim Braverman

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

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BibTeX RIS

Maxim Braverman. 2001-01-11. New Proof of the Cobordism Invariance of the Index. https://arxiv.org/abs/math/0011237

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