On a desingularization of the moduli space of noncommutative tori
Abstract
Description
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.
7 pages, 2 figures; to appear Proc. Amer. Math. Soc
7 pages, 2 figures; to appear Proc. Amer. Math. Soc