Geodesic
Triviality of vector bundles on twisted ind-Grassmannians
Sbornik. Mathematics, Tome 202 (2011) no. 1, pp. 61-99

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Twisted ind-Grassmannians are ind-varieties $\mathbf G$ obtained as direct limits of Grassmannians $G(i_m,V^{n_m})$ for $m\in\mathbb Z_{>0}$ under embeddings of degree greater than $1$. It has been conjectured by Donin and Penkov (2003) that any vector bundle of finite rank on a twisted ind-Grassmannian is trivial. We prove this conjecture. Bibliography: 16 titles.
Keywords: ind-variety, twisted ind-Grassmannian, vector bundle. 
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I. B. Penkov; A. S. Tikhomirov. Triviality of vector bundles on twisted ind-Grassmannians. Sbornik. Mathematics, Tome 202 (2011) no. 1, pp. 61-99. http://geodesic.mathdoc.fr/item/SM_2011_202_1_a3/