A note about the isotropy groups of $2$-plane bundles over closed surfaces
Let $\xi$ be a $2$-plane bundle over a closed surface $S$. The line bundles $\lambda$ over $S$ such that $\xi\otimes\lambda\cong\xi$ form a group $\mathcal{J}(\xi)$ (the isotropy group of $\xi$); the scope of this paper is to describe $\mathcal{J}(\xi)$.
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Veröffentlicht in: | Collectanea mathematica (Barcelona) 2003, Vol.54 (3) |
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container_title | Collectanea mathematica (Barcelona) |
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creator | Piccinini, Renzo A. Minatta, Augusto Spreafico, M. |
description | Let $\xi$ be a $2$-plane bundle over a closed surface $S$. The line bundles $\lambda$ over $S$ such that $\xi\otimes\lambda\cong\xi$ form a group $\mathcal{J}(\xi)$ (the isotropy group of $\xi$); the scope of this paper is to describe $\mathcal{J}(\xi)$. |
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title | A note about the isotropy groups of $2$-plane bundles over closed surfaces |
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