Location of Repository

Quantum group of orientation-preserving Riemannian isometries

By Jyotishman Bhowmick and Debashish Goswami

Abstract

We formulate a quantum group analogue of the group of orientationpreserving Riemannian isometries of a compact Riemannian spin manifold, more generally, of a (possibly R-twisted and of compact type) spectral triple. The main advantage of this formulation, which is directly in terms of the Dirac operator, is that it does not need the existence of any ‘good ’ Laplacian as in our previous works on quantum isometry groups. Several interesting examples, including those coming from Rieffel-type deformation as well as the equivariant spectral triples on SUµ(2) and S2 µc are dicussed

Year: 2013
OAI identifier: oai:CiteSeerX.psu:10.1.1.311.1303
Provided by: CiteSeerX
Download PDF:
Sorry, we are unable to provide the full text but you may find it at the following location(s):
  • http://citeseerx.ist.psu.edu/v... (external link)
  • http://arxiv.org/pdf/0806.3687... (external link)
  • Suggested articles


    To submit an update or takedown request for this paper, please submit an Update/Correction/Removal Request.