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Talk:Dual bundle

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It would be helpful if ...

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It would be helpful if the last sentence — which mentions that a tautological complex line bundle is not isomorphic to its dual — were expanded to include an explanation of this fact, which seems at first to contradict the statement in the article that a vector bundle is isomorphic to its dual bundle.2601:200:C000:1A0:2C99:21F3:9102:1CD6 (talk) 15:17, 17 May 2021 (UTC)[reply]