7 citations · 15 across the 5 of their papers we have counts for
5 papers
Algebraic Versus Spectral Torsion
Ludwik Dąbrowski, Yang Liu, Sugato Mukhopadhyay
We relate the recently defined spectral torsion with the algebraic torsion of noncommutative differential calculi on the example of the almost-commutative geometry of the product o…
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…
Noncommutative Borsuk-Ulam-type conjectures revisited
Ludwik Dąbrowski, Piotr M. Hajac, Sergey Neshveyev
Let be the C*-algebra of a non-trivial compact quantum group acting freely on a unital C*-algebra . It was recently conjectured that there does not exist an equivariant -…
Dirac operators on all Podles quantum spheres
Ludwik Dabrowski, Francesco D'Andrea, Giovanni Landi +1
We construct spectral triples on all Podles quantum spheres. These noncommutative geometries are equivariant for a left action of and are regular, even and of metric d…