The infinitesimal index

Mathematics – Differential Geometry

Scientific paper

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In this version, some misprints are corrected. An example have been changed of place

Scientific paper

In this note, we study an invariant associated to the zeros of the moment map
generated by an action form, the infinitesimal index. This construction will be
used to study the compactly supported equivariant cohomology of the zeros of
the moment map and to give formulas for the multiplicity index map of a
transversally elliptic operator.

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