Abstract.
Let G be a compact Lie group acting on a compact manifold M. In this article, we associate to a G-transversally elliptic symbol on M a G-invariant generalized function on G, constructed in terms of equivariant closed differential forms on the cotangent bundle T * M.
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Oblatum 24-VII-1995
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Berline, N., Vergne, M. The Chern character of a transversally elliptic symbol and the equivariant index. Invent math 124, 11–49 (1996). https://doi.org/10.1007/s002220050045
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DOI: https://doi.org/10.1007/s002220050045