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math-ph2000
Index theorem for equivariant Dirac operators on non-compact manifolds
Maxim Braverman
Let be a (generalized) Dirac operator on a non-compact complete Riemannian manifold acted on by a compact Lie group . Let be an equivariant map, such th…
math.SP2000
New Proof of the Cobordism Invariance of the Index
Maxim Braverman
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…