50 citations · 87 across the 14 of their papers we have counts for
6 papers · 1 filter
Quantum symmetries of classical spaces
Jyotishman Bhowmick, Debashish Goswami, Subrata Shyam Roy
We give a general scheme for constructing faithful actions of genuine (noncommutative as algebra) compact quantum groups on classical topological spaces. Using this, we show…
Some remarks on the action of Quantum Isometry Groups
Debashish Goswami
We give a new sufficient condition on a spectral triple to ensure that the quantum group of orientation and volume preserving isometries defined in \cite{qorient} has a -actio…
Quantum Group of Orientation preserving Riemannian Isometries
Jyotishman Bhowmick, Debashish Goswami
We formulate a quantum group analogue of the group of orinetation-preserving Riemannian isometries of a compact Riemannian spin manifold, more generally, of a (possibly -twisted…
Quantum Isometry Groups: Examples and Computations
Debashish Goswami, Jyotishman Bhowmick
In this follow-up of the article: Quantum Group of Isometries in Classical and Noncommutative Geometry(arXiv:0704.0041) by Goswami, where quantum isometry group of a noncommutative…
Invariance and the twisted Chern character : a case study
Debashish Goswami
We give details of the proof of the remark made in \cite{G2} that the Chern characters of the canonical generators on the K homology of the quantum group are not invarian…
Quantum Group of Isometries in Classical and Noncommutative Geometry
Debashish Goswami
We formulate a quantum generalization of the notion of the group of Riemannian isometries for a compact Riemannian manifold, by introducing a natural notion of smooth and isometric…