On the Kostant multiplicity formula for group actions with nonisolated fixed points (Q1816389)

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scientific article; zbMATH DE number 949642
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On the Kostant multiplicity formula for group actions with nonisolated fixed points
scientific article; zbMATH DE number 949642

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    On the Kostant multiplicity formula for group actions with nonisolated fixed points (English)
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    26 November 1996
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    The authors prove that the Kostant multiplicity formula for the case when \(M^G\) is not finite can be derived from the equivariant index theorem of Atiyah-Segal-Singer for \(\text{spin}^c\)-Dirac operators.
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    group actions
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    \(\text{spin}^ c\)-Dirac operators
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    Kostant multiplicity formula
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