New Proof of the Cobordism Invariance of the Index

Details New Proof of the Cobordism Invariance of the Index New Proof of the Cobordism Invariance of the Index

2000-11-28

arxiv.org/abs/math/0011237v2

Mathematics

Spectral Theory

Some references are added, some minor changes are made. To appear in Proc. of AMS

Scientific paper

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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