Classification of holomorphic vector bundles on noncommutative two-tori

Details Classification of holomorphic vector bundles on noncommutative two-tori Classification of holomorphic vector bundles on noncommutative two-tori

2003-08-14

arxiv.org/abs/math/0308136v1

Mathematics

Quantum Algebra

AMSLatex, 18 pages

Scientific paper

We prove that every holomorphic vector bundle on a noncommutative two-torus
$T$ can be obtained by successive extensions from standard holomorphic bundles
considered in math.QA/0211262. This implies that the category of holomorphic
bundles on $T$ is equivalent to the heart of certain $t$-structure on the
derived category of coherent sheaves on an elliptic curve.

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