On a desingularization of the moduli space of noncommutative tori

Details On a desingularization of the moduli space of noncommutative tori On a desingularization of the moduli space of noncommutative tori

2007-03-23

arxiv.org/abs/math/0703712v2

Proc. Amer. Math. Soc. 136 (2008), 3769-3774

Mathematics

Operator Algebras

7 pages, 2 figures; to appear Proc. Amer. Math. Soc

Scientific paper

10.1090/S0002-9939-08-09465-3

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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