Zobrazeno 1 - 10
of 162
pro vyhledávání: '"Dąbrowski, Ludwik"'
Publikováno v:
Commun. Math. Phys. 405, 130 (2024)
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 spectral triple over a closed spin manifold it recovers the torsion of th
Externí odkaz:
http://arxiv.org/abs/2308.01644
Publikováno v:
J. Noncommut. Geom. (2024)
We examine the metric and Einstein bilinear functionals of differential forms introduced in Adv.Math.,Vol.427,(2023)1091286, for Hodge-Dirac operator $d+\delta$ on an oriented even-dimensional Riemannian manifold. We show that they reproduce these fu
Externí odkaz:
http://arxiv.org/abs/2307.14877
We study the relationship between antipodes on a Hopf algebroid $\mathcal{H}$ in the sense of B\"ohm-Szlachanyi and the group of twists that lies inside the associated convolution algebra. We specialize to the case of a faithfully flat $H$-Hopf-Galoi
Externí odkaz:
http://arxiv.org/abs/2302.12073
Publikováno v:
Advances in Mathematics, Vol. 427 (2023) 109128
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 generalise these concepts in non-commutative geometry and, in particular
Externí odkaz:
http://arxiv.org/abs/2206.02587
Publikováno v:
In Journal of Algebra 15 September 2024 654:82-107
Autor:
Rubin, Alessandro, Dabrowski, Ludwik
Given a spectral triple on a unital $C^{*}$-algebra $A$ and an equicontinuous action of a discrete group $G$ on $A$, a spectral triple on the reduced crossed product $C^{*}$-algebra $A\rtimes_r G$ was constructed by Hawkins, Skalski, White and Zachar
Externí odkaz:
http://arxiv.org/abs/2012.15698
Autor:
Magee, Adam M., Dabrowski, Ludwik
Twisted real structures are well-motivated as a way to implement the conformal transformation of a Dirac operator for a real spectral triple without needing to twist the noncommutative 1-forms. We study the coupling of spectral triples with twisted r
Externí odkaz:
http://arxiv.org/abs/2009.11814
Publikováno v:
Math. Phys. Anal. Geom. 24 (2021) 13
An interesting feature of the finite-dimensional real spectral triple (A,H,D,J) of the Standard Model is that it satisfies a ``second-order'' condition: conjugation by J maps the Clifford algebra Cl_D(A) into its commutant, which in fact is isomorphi
Externí odkaz:
http://arxiv.org/abs/1912.13364
Autor:
Dabrowski, Ludwik, Sitarz, Andrzej
We generalize the notion of spectral triple with reality structure to spectral triples with multitwisted real structure, the class of which is closed under the tensor product composition. In particular, we introduce a multitwisted order one condition
Externí odkaz:
http://arxiv.org/abs/1911.12873
Publikováno v:
In Advances in Mathematics 15 August 2023 427