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math.QA2013★ 12 cited
A Riemann-Roch theorem for the noncommutative two torus
Masoud Khalkhali, Ali Moatadelro
We prove the analogue of the Riemann-Roch formula for the noncommutative two torus equipped with an arbitrary translation invariant complex structure and…
math.QA2013
Scalar Curvature for Noncommutative Four-Tori
Farzad Fathizadeh, Masoud Khalkhali
In this paper we study the curved geometry of noncommutative 4-tori . We use a Weyl conformal factor to perturb the standard volume form and obtain the Laplacian th…