45 citations · 323 across the 58 of their papers we have counts for
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math.QA2014★ 3 cited
The Curvature of the Determinant Line Bundle on the Noncommutative Two Torus
Ali Fathi, Asghar Ghorbanpour, Masoud Khalkhali
We compute the curvature of the determinant line bundle on a family of Dirac operators for a noncommutative two torus. Following Quillen's original construction for Riemann surface…
math-ph2014★ 7 cited
Rationality of Spectral Action for Robertson-Walker Metrics
Farzad Fathizadeh, Asghar Ghorbanpour, Masoud Khalkhali
We use pseudodifferential calculus and heat kernel techniques to prove a conjecture by Chamseddine and Connes on rationality of the coefficients of the polynomials in the cosmic sc…