8 citations · 36 across the 26 of their papers we have counts for
7 papers · 1 filter
Twisted edge Laplacians on finite graphs from a Kähler structure
Soumalya Joardar, Atibur Rahaman
In this paper we study a Kahler structure on finite points. In particular, we study the edge Laplacian of a graph twisted by the Kahler structure introduced in this paper. We also…
Almost complex structure on finite points from bidirected graphs
Soumalya Joardar, Atibur Rahaman
We show that there is an almost complex structure on a differential calculus on finite points coming from a bidirected finite graph without multiple edges or loops. We concentrate…
Levi-Civita connections from toral actions
Suvrajit Bhattacharjee, Soumalya Joardar, Sugato Mukhopadhyay
We construct tame differential calculi coming from toral actions on a class of -algebras. Relying on the existence of a unique Levi-Civita connection on such a calcul…
Levi-Civita connections for conformally deformed metrics on tame differential calculi
Jyotishman Bhowmick, Debashish Goswami, Soumalya Joardar
Given a tame differential calculus over a noncommutative algebra and an -bilinear pseudo-Riemannian metric consider the conformal deformation $ g…
Improved bound on the non zero eigenvalues of the graph Laplacian coming from quantum symmetry of vertex transitive graphs
Soumalya Joardar
A chain of quantum subgroups of the quantum automorphism group of finite graphs has been introduced. It generalizes the construction of J. Bichon (see [3]) in a sense. A better bou…
A new look at Levi-Civita connection in noncommutative geometry
Jyotishman Bhowmick, Debashish Goswami, Soumalya Joardar
We prove the existence and uniqueness of Levi-Civita connections for strongly sigma-compatible pseudo-Riemannian metrics on tame differential calculi. Such pseudo-Riemannian metric…
Smooth actions of compact quantum groups on compact smooth manifolds
Debashish Goswami, Soumalya Joardar
Definition of a smooth action of a CQG on a compact, smooth manifold is given and studied. It is shown that a smooth action is always injective. Furthermore A necessary and suffici…