122 citations · 1.1k across the 69 of their papers we have counts for
72 papers
Asymmetric noncommutative torus has vanishing Einstein tensor
Deeponjit Bose, Andrzej Sitarz
We explicitly compute the spectral metric, torsion and Einstein tensors for a nontrivial spectral triple on a noncommutative torus, with the Dirac operator related to the fully equ…
Spectral Torsion
Ludwik Dąbrowski, Andrzej Sitarz, Paweł Zalecki
We introduce a trilinear functional of differential one-forms for a finitely summable regular spectral triple with a noncommutative residue. We demonstrate that for a canonical spe…
Spectral Metric and Einstein Functionals for Hodge-Dirac operator
Ludwik Dąbrowski, Paweł Zalecki, Andrzej Sitarz
We examine the metric and Einstein bilinear functionals of differential forms introduced in Adv.Math.,Vol.427,(2023)1091286, for Hodge-Dirac operator on an oriented even-dime…
Spectral interactions between strings in the Higgs background
Arkadiusz Bochniak, Andrzej Sitarz
We derive the exact form of the spectral interaction of two strings mediated by a constant scalar field using methods derived from noncommutative geometry. This is achieved by cons…
Spectral Metric and Einstein Functionals
Ludwik Dąbrowski, Andrzej Sitarz, Paweł Zalecki
We define bilinear functionals of vector fields and differential forms, the densities of which yield the metric and Einstein tensors on even-dimensional Riemannian manifolds. We ge…
Braided symmetries of and Podleś Spheres
Rafał Bistroń, Andrzej Sitarz
We present an explicit form of braided symmetries of the quantum spheres, by introducing a braided quantum Hopf algebra $\cU_{q, ϕ}$ and demonstrating that they are braided Hopf mo…