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)
Hauptverfasser: Piccinini, Renzo A., Minatta, Augusto, Spreafico, M.
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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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