Elliptic genera on non-spin Riemannian symmetric spaces with \(b_{2}=0\) (Q557196)
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scientific article; zbMATH DE number 2182213
| Language | Label | Description | Also known as |
|---|---|---|---|
| English | Elliptic genera on non-spin Riemannian symmetric spaces with \(b_{2}=0\) |
scientific article; zbMATH DE number 2182213 |
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Elliptic genera on non-spin Riemannian symmetric spaces with \(b_{2}=0\) (English)
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23 June 2005
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The authors prove in the present paper that the elliptic genera of the real Grassmannian \(\text{Gr}_4(\mathbb{R}^{2m+5})\), \(m\geq 1\), and the space \(F_4/\text{Sp}(3)\text{Sp}(1)\) are identically zero. These vanishings are consistent with the rigidity under \(S'\) actions of the elliptic genera on the non-spin manifolds, and imply that their signatures are zero.
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Riemannian symmetric space
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Elliptic genera
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0.8995103
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0.89931244
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0.8958086
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0.88366085
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0.8813801
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0.8810742
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0.8771628
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0.87229985
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0.8718239
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