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On a desingularization of the moduli space of noncommutative tori

Igor Nikolaev
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Abstract

It is shown that the moduli space of the noncommutative tori A admits a natural desingularization by the group Ext (A, A). Namely, we prove that the moduli space of pairs (A, Ext (A,A)) is homeomorphic to a punctured two-dimensional sphere. The proof is based on a correspondence (a covariant functor) between the complex and noncommutative tori.

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Igor Nikolaev. 2008-04-19. On a desingularization of the moduli space of noncommutative tori. https://doi.org/10.1090/s0002-9939-08-09465-3

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