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Theta-functions on noncommutative tori | | Albert Schwarz
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25 Jul 2001 | | Subject: | Quantum Algebra | math.QA hep-th | | Abstract: | Ordinary theta-functions can be considered as holomorphic sections of line bundles over tori. We show that one can define generalized theta-functions as holomorphic elements of projective modules over noncommutative tori (theta-vectors). The theory of these new objects is not only more general, but also much simpler than the theory of ordinary theta-functions. It seems that the theory of theta-vectors should be closely related to Manin’s theory of quantized theta-functions, but we don’t analyze this relation. | | Source: | arXiv, math.QA/0107186 | | Services: | Forum | Review | PDF | Favorites | |
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