50 citations · 330 across the 53 of their papers we have counts for
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On the Koszul formula in noncommutative geometry
Jyotishman Bhowmick, Debashish Goswami, Giovanni Landi
We prove a Koszul formula for the Levi-Civita connection for any pseudo-Riemannian bilinear metric on a class of centered bimodule of noncommutative one-forms. As an application to…
Generalized symmetry in noncommutative (complex) geometry
Suvrajit Bhattacharjee, Indranil Biswas, Debashish Goswami
We introduce Hopf algebroid covariance on Woronowicz's differential calculus. Using it, we develop quite a general framework of noncommutative complex geometry that subsumes the on…
Existence and rigidity of quantum isometry groups for compact metric spaces
Alexandru Chirvasitu, Debashish Goswami
We prove the existence of a quantum isometry groups for new classes of metric spaces: (i) geodesic metrics for compact connected Riemannian manifolds (possibly with boundary) and (…