41 citations · 63 across the 3 of their papers we have counts for
3 papers
math.QA2014★ 41 cited
An Asymmetric Noncommutative Torus
Ludwik Dabrowski, Andrzej Sitarz
We introduce a family of spectral triples that describe the curved noncommutative two-torus. The relevant family of new Dirac operators is given by rescaling one of two terms in th…
math.QA2006★ 22 cited
On Spin Structures and Dirac Operators on the Noncommutative Torus
Mario Paschke, Andrzej Sitarz
We find and classify possible equivariant spin structures with Dirac operators on the noncommutative torus, proving that similarly as in the classical case the spectrum of the Dira…
math.QA2004
The Spectral Geometry of the Equatorial Podles Sphere
Ludwik Dabrowski, Giovanni Landi, Mario Paschke +1
We propose a slight modification of the properties of a spectral geometry a la Connes, which allows for some of the algebraic relations to be satisfied only modulo compact operator…