Zobrazeno 1 - 10
of 29
pro vyhledávání: '"Raphael Ponge"'
Autor:
Raphael Ponge
Publikováno v:
Journal of Noncommutative Geometry. 14:1365-1444
In this paper, we introduce a paracyclic version of $S$-modules. These new objects are called para-$S$-modules. Paracyclic modules and parachain complexes give rise to para-$S$-modules much in the same way as cyclic modules and mixed complexes give r
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::28e14fdc08d8da9dbe8a16581019ec79
https://doi.org/10.4171/jncg/393
https://doi.org/10.4171/jncg/393
Autor:
Raphael Ponge
Publikováno v:
Symmetry, Integrability and Geometry: Methods and Applications.
In this paper we establish uniqueness theorems for the noncommutative residue and the canonical trace on pseudodifferential operators on noncommutative tori of arbitrary dimension. The former is the unique trace up to constant multiple on integer ord
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::cb942acf4ed83954de7ea6b3cad29b94
https://doi.org/10.3842/sigma.2020.061
https://doi.org/10.3842/sigma.2020.061
Autor:
Raphael Ponge
Publikováno v:
Comptes Rendus Mathematique. 355:618-622
In this note, we produce explicit quasi-isomorphisms computing the cyclic homology of crossed-product algebras associated with group actions on manifolds. We obtain explicit relationships with equivariant cohomology. On the way, we extend the results
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::54662b64c495151ee62e4c1efe581b9a
https://doi.org/10.1016/j.crma.2017.04.012
https://doi.org/10.1016/j.crma.2017.04.012
Autor:
Raphael Ponge, Hyunsu Ha
In this paper, we construct Laplace-Beltrami operators associated with arbitrary Riemannian metrics on noncommutative tori of any dimension. These operators enjoy the main properties of the Laplace-Beltrami operators on ordinary Riemannian manifolds.
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::abb7ab864e5288306683c60a3b00713f
Autor:
Raphael Ponge, Hang Wang
Publikováno v:
Advances in Mathematics. 272:761-819
This paper is the the third part of a series of paper whose aim is to use of the framework of \emph{twisted spectral triples} to study conformal geometry from a noncommutive geometric viewpoint. In this paper we reformulate the inequality of Vafa-Wit
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::7df4941be776bca0f3daf270fdfc84cd
https://doi.org/10.1016/j.aim.2014.12.009
https://doi.org/10.1016/j.aim.2014.12.009
Autor:
Woocheol Choi, Raphael Ponge
In this paper we attempt to give a systematic account on privileged coordinates and the nilpotent approximation of Carnot manifolds. By a Carnot manifold it is meant a manifold with a distinguished filtration of subbundles of the tangent bundle which
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::80f95c3e30f43a58a6ceb7c362ebe12a
http://arxiv.org/abs/1709.09045
http://arxiv.org/abs/1709.09045
Autor:
Raphael Ponge
In this paper we present the construction of explicit quasi-isomorphisms that compute the cyclic homology and periodic cyclic homology of crossed-product algebras associated with (discrete) group actions. In the first part we deal with algebraic cros
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::37f37e9f1ef60221265dc97d4a3c2497
http://arxiv.org/abs/1706.08992
http://arxiv.org/abs/1706.08992
Publikováno v:
International Journal of Mathematics. 30:1950034
This paper is the 2nd part of a two-paper series whose aim is to give a detailed description of Connes' pseudodifferential calculus on noncommutative $n$-tori, $n\geq 2$. We make use of the tools introduced in the 1st part to deal with the main prope
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::6d86ef220a9698e5236d36bc52fc8815
https://doi.org/10.1142/s0129167x19500344
https://doi.org/10.1142/s0129167x19500344
Publikováno v:
International Journal of Mathematics. 30:1950033
This paper is the first part of a two-paper series whose aim is to give a thorough account on Connes' pseudodifferential calculus on noncommutative tori. This pseudodifferential calculus has been used in numerous recent papers, but a detailed descrip
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_dedup___::78f26c60a4cd8eb021d017679113d987
https://doi.org/10.1142/s0129167x19500332
https://doi.org/10.1142/s0129167x19500332
Publikováno v:
Electronic Research Announcements in Mathematical Sciences. 20:43-50
We study conformal invariants that arise from functions in the nullspace of conformally covariant differential operators. The invariants include nodal sets and the topology of nodal domains of eigenfunctions in the kernel of GJMS operators. We establ
Externí odkaz:
https://explore.openaire.eu/search/publication?articleId=doi_________::06bb6d199661380466377eec5b50e32b
https://doi.org/10.3934/era.2013.20.43
https://doi.org/10.3934/era.2013.20.43