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Ullemar’s formula for the moment map, II

✍ Scribed by V.G. Tkachev

Publisher
Elsevier Science
Year
2005
Tongue
English
Weight
207 KB
Volume
404
Category
Article
ISSN
0024-3795

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Equivariant Index and the Moment Map for Completely Integrable Torus Actions
✍ Michael D Grossberg; Yael Karshon 📂 Article 📅 1998 🏛 Elsevier Science 🌐 English ⚖ 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