122 citations · 1.1k across the 69 of their papers we have counts for
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The geometry of quantum lens spaces: real spectral triples and bundle structure
Andrzej Sitarz, Jan Jitse Venselaar
We study almost real spectral triples on quantum lens spaces, as orbit spaces of free actions of cyclic groups on the spectral geometry on the quantum group . These spectr…
Heat trace and spectral action on the standard Podles sphere
Michal Eckstein, Bruno Iochum, Andrzej Sitarz
We give a new definition of dimension spectrum for non-regular spectral triples and compute the exact (i.e. non only the asymptotics) heat-trace of standard Podles spheres …
Wodzicki residue and minimal operators on a noncommutative 4-dimensional torus
Andrzej Sitarz
We compute the Wodzicki residue of the inverse of a conformally rescaled Laplace operator over a 4-dimensional noncommutative torus. We show that the straightforward generalization…
Dirac operator on noncommutative principal circle bundles
Ludwik Dabrowski, Andrzej Sitarz, Alessandro Zucca
We study spectral triples over noncommutative principal U(1)-bundles of arbitrary dimension and formulate a compatibility condition between the connection and the Dirac operator on…
Real Spectral Triples over Noncommutative Bieberbach Manifolds
Piotr Olczykowski, Andrzej Sitarz
We classify and construct all real spectral triples over noncommutative Bieberbach manifolds, which are restrictions of irreducible real equivariant spectral triple over the noncom…