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of 57
pro vyhledávání: '"Joakim Arnlind"'
Publikováno v:
Mathematical Physics, Analysis and Geometry. 25
We introduce $q$-deformed connections on the quantum 2-sphere and 3-sphere, satisfying a twisted Leibniz rule in analogy with $q$-deformed derivations. We show that such connections always exist on projective modules. Furthermore, a condition for met
Autor:
Joakim Arnlind
Publikováno v:
International Journal of Geometric Methods in Modern Physics. 18
In this paper, we study connections on hermitian modules, and show that metric connections exist on regular hermitian modules; i.e. finitely generated projective modules together with a non-singular hermitian form. In addition, we develop an index ca
Autor:
Joakim Arnlind, Ahmed Al-Shujary
Publikováno v:
Journal of Geometry and Physics. 136:156-172
We introduce Kahler-Poisson algebras as analogues of algebras of smooth functions on Kahler manifolds, and prove that they share several properties with their classical counterparts on an algebraic ...
Autor:
Joakim Arnlind
In this note, we initiate a study of the finite-dimensional representation theory of a class of algebras that correspond to noncommutative deformations of compact surfaces of arbitrary genus. Low dimensional representations are investigated in detail
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::5f3b0d5f275af7d56e3c18f39e301fba
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-165327
http://urn.kb.se/resolve?urn=urn:nbn:se:liu:diva-165327
Autor:
Joakim Arnlind, Christoffer Holm
Publikováno v:
Letters in Mathematical Physics
A noncommutative algebra corresponding to the classical catenoid is introduced together with a differential calculus of derivations. We prove that there exists a unique metric and torsion-free connection that is compatible with the complex structure,
Autor:
Mitsuru Wilson, Joakim Arnlind
Publikováno v:
Journal of Geometry and Physics. 111:126-141
We construct a differential calculus over the noncommutative 4-sphere in the framework of pseudo-Riemannian calculi, and show that for every metric in a conformal class of perturbations of the round metric, there exists a unique metric and torsion-fr
Autor:
Giovanni Landi, Joakim Arnlind
We initiate a study of projections and modules over a noncommutative cylinder, a simple example of a noncompact noncommutative manifold. Since its algebraic structure turns out to have many similarities with the noncommutative torus, one can develop
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::8f3c1c0323a97d850e0fa4822fdbc2cd
http://arxiv.org/abs/1901.07276
http://arxiv.org/abs/1901.07276
Autor:
Joakim Arnlind, Axel Tiger Norkvist
Publikováno v:
Journal of Geometry and Physics. 159:103898
In analogy with classical submanifold theory, we introduce morphisms of real metric calculi together with noncommutative embeddings. We show that basic concepts, such as the second fundamental form and the Weingarten map, translate into the noncommut
Autor:
Joakim Arnlind, Jens Hoppe
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications, Vol 6, p 042 (2010)
We consider discrete minimal surface algebras (DMSA) as generalized noncommutative analogues of minimal surfaces in higher dimensional spheres. These algebras appear naturally in membrane theory, where sequences of their representations are used as a
Externí odkaz:
https://doaj.org/article/9b0bbb434d57453688beaf0d4f5cd7ad
Publikováno v:
Communications in Mathematical Physics. 288:403-429
We introduce C-Algebras of compact Riemann surfaces \({\Sigma}\) as non-commutative analogues of the Poisson algebra of smooth functions on \({\Sigma}\) . Representations of these algebras give rise to sequences of matrix-algebras for which matrix-co