The Gauss-Bonnet Theorem for Noncommutative Two Tori With a General Conformal Structure

Farzad Fathizadeh, Masoud Khalkhali

In this paper we give a proof of the Gauss-Bonnet theorem of Connes and Tretkoff for noncommutative two tori ${\mathbb{T}}_{\theta }^2$ equipped with an arbitrary translation invariant compl…