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The index of elliptic operators over V-manifolds

Published online by Cambridge University Press:  22 January 2016

Tetsuro Kawasaki
Tetsuro Kawasaki*
Affiliation:
Department of Mathematics Faculty of Science, Gakushuin University, Mejiro, Tokyo, 171, Japan
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Let M be a compact smooth manifold and let G be a finite group acting smoothly on M. Let E and F be smooth G-equivariant complex vector bundles over M and let be a G-invariant elliptic pseudo-differential operator. Then the kernel and the cokernel of the operator P are finite-dimensional representations of G. The difference of the characters of these representations is an element of the representation ring R(G) of G and is called the G-index of the operator P.

Type
Research Article
Information
Nagoya Mathematical Journal , Volume 84 , December 1981 , pp. 135 - 157
Copyright
Copyright © Editorial Board of Nagoya Mathematical Journal 1981

References

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