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Quantum group of orientation-preserving Riemannian isometries

By Jyotishman Bhowmick and Debashish Goswami


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
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