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Hilbert series for torus actions

✍ Scribed by Lex E Renner


Publisher
Elsevier Science
Year
1989
Tongue
English
Weight
555 KB
Volume
76
Category
Article
ISSN
0001-8708

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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