An equivariant index formula for elliptic actions on contact manifolds
نویسنده
چکیده
Given an elliptic action of a compact Lie group G on a co-oriented contact manifold (M, E) one obtains two naturally associated objects: A G-transversally elliptic operator Db / , and an equivariant differential form with generalised coefficients J (E, X) defined in terms of a choice of contact form on M . We explain how the form J (E, X) is natural with respect to the contact structure, and give a formula for the equivariant index of Db / involving J (E, X). A key tool is the Chern character with compact support developed by Paradan-Vergne [11, 12].
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