3 papers
math.QA2025
On two notions of torsion and metric compatibility of connections in noncommutative geometry
Jyotishman Bhowmick, Bappa Ghosh, Satyajit Guin
We compare the notions of metric-compatibility and torsion of a connection in the frameworks of Beggs-Majid and Mesland-Rennie. It follows that for -preserving connections, c…
math.QA2025
The Levi-Civita connection and Chern connections for cocycle deformations of Kähler manifolds
Jyotishman Bhowmick, Bappa Ghosh
We consider unitary cocycle deformations of covariant -differential calculi. We prove that complex structures, holomorphic bimodules and Chern connections on the deformed cal…
math.QA2024
Levi-Civita connection on the irreducible quantum flag manifolds
Jyotishman Bhowmick, Bappa Ghosh, Andrey O. Krutov +1
We classify covariant metrics (in the sense of Beggs and Majid) on a class of quantum homogeneous spaces. In particular, our classification implies the existence of a unique (up to…