Natural Equivariant Dirac Operators

Details Natural Equivariant Dirac Operators Natural Equivariant Dirac Operators

2008-05-21

arxiv.org/abs/0805.3340v1

Mathematics

Differential Geometry

19 pages

Scientific paper

We introduce a new class of natural, explicitly defined, transversally elliptic differential operators over manifolds with compact group actions. Under certain assumptions, the symbols of these operators generate all the possible values of the equivariant index. We also show that the components of the representation-valued equivariant index coincide with those of an elliptic operator constructed from the original data.

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