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On Completely Integrable Systems with Local Torus Actions

✍ Scribed by Mikhail Kogan

Book ID
110238374
Publisher
Springer
Year
1997
Tongue
English
Weight
133 KB
Volume
15
Category
Article
ISSN
0232-704X

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πŸ“œ SIMILAR VOLUMES

Equivariant Index and the Moment Map for
Equivariant Index and the Moment Map for Completely Integrable Torus Actions
✍ Michael D Grossberg; Yael Karshon πŸ“‚ Article πŸ“… 1998 πŸ› Elsevier Science 🌐 English βš– 569 KB

Consider a completely integrable torus action on a compact Spin c manifold. The equivariant index of the Dirac operator is a virtual representation of the torus and is determined by the multiplicities of the weights which occur it in. We prove that these multiplicities are equal to values of the den