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Ben McKay
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rank Rank 2 complex vector bundles over $S^2\times S^2$

How could people classify all rank $2$ complex vector bundles over $S^2\times S^2$ up to isomorphicisomorphism? And couldCould you give a rank 2 complex vector bundle which can notcannot be splitsplit as a sum of two line bundles.

Thanks a lot.?

rank 2 complex vector over $S^2\times S^2$

How could people classify all rank $2$ complex vector over $S^2\times S^2$ up to isomorphic? And could you give a rank 2 complex bundle which can not be split as a sum of two line bundles.

Thanks a lot.

Rank 2 complex vector bundles over $S^2\times S^2$

How could people classify all rank $2$ complex vector bundles over $S^2\times S^2$ up to isomorphism? Could you give a rank 2 complex vector bundle which cannot be split as a sum of two line bundles?

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DLIN
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How could people classify all rank $2$ complex vector over $S^2\times S^2$ up to isomorphic? And could you give a rank 2 complex bundle which can botnot be split as a sum of two line bundles.

Thanks a lot.

How could people classify all rank $2$ complex vector over $S^2\times S^2$ up to isomorphic? And could give a rank 2 complex bundle which can bot be split as a sum of two line bundles.

Thanks a lot.

How could people classify all rank $2$ complex vector over $S^2\times S^2$ up to isomorphic? And could you give a rank 2 complex bundle which can not be split as a sum of two line bundles.

Thanks a lot.

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DLIN
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