3 papers
math.QA2025
Algebraic Versus Spectral Torsion
Ludwik DÄ browski, 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…
math.QA2024
Spectral Torsion
Ludwik DÄ browski, Andrzej Sitarz, PaweÅ 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…
math.DG2024
Spectral Metric and Einstein Functionals for Hodge-Dirac operator
Ludwik DÄ browski, PaweÅ 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-dim…