20 citations · 28 across the 5 of their papers we have counts for
5 papers
On Geometric Spectral Functionals
Arkadiusz Bochniak, Ludwik Dąbrowski, Andrzej Sitarz +1
We investigate spectral functionals associated with Dirac and Laplace-type differential operators on manifolds, defined via the Wodzicki residue, extending classical results for Di…
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…
The weak Hilbert-Smith conjecture from a Borsuk-Ulam-type conjecture
Alexandru Chirvasitu, Ludwik Dąbrowski, Mariusz Tobolski
We prove a number of results surrounding the Borsuk-Ulam-type conjecture of Baum, Dąbrowski and Hajac (BDH, for short), to the effect that given a free action of a compact group $G…
Index pairings for pullbacks of C*-algebras
L. Dabrowski, T. Hadfield, P. M. Hajac +2
In this overview, we study how to reduce the index pairing for a fibre-product C*-algebra to the index pairing for the C*-algebra over which the fibre product is taken. As an examp…
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…