45 citations · 323 across the 58 of their papers we have counts for
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A Two Dimensional Adler-Manin Trace and Bi-singular Operators
Farzad Fathizadeh, Masoud Khalkhali, Fabio Nicola +1
Motivated by the theory of bi-singular pseudodifferential operators, we introduce a two dimensional version of the Adler-Manin trace. Our construction is rather general in the sens…
Weyl's Law and Connes' Trace Theorem for Noncommutative Two Tori
Farzad Fathizadeh, Masoud Khalkhali
We prove the analogue of Weyl's law for a noncommutative Riemannian manifold, namely the noncommutative two torus equipped with a general translation invariant con…
Scalar Curvature for the Noncommutative Two Torus
Farzad Fathizadeh, Masoud Khalkhali
We give a local expression for the {\it scalar curvature} of the noncommutative two torus equipped with an arbitrary translation invariant complex struct…
Twisted Spectral Triples and Connes' Character Formula
Farzad Fathizadeh, Masoud Khalkhali
We give a proof of an analogue of Connes' Hochschild character theorem for twisted spectral triples obtained from twisting a spectral triple by scaling automorphisms, under some su…
Noncommutative complex geometry of the quantum projective space
Masoud Khalkhali, Ali Moatadelro
We define holomorphic structures on canonical line bundles of the quantum projective space $\qp^{\ell}_q$ and identify their space of holomorphic sections. This determines the quan…