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math.QA2025
Comparison of Levi-Civita connections in noncommutative geometry
Alexander Flamant, Bram Mesland, Adam Rennie
We compare the constructions of Levi-Civita connections for noncommutative algebras developed in arXiv:1505.07330, arXiv:1809.06721, arXiv:2403.13735. The assumptions in these vari…
math.QA2024★ 1 cited
Existence and uniqueness of the Levi-Civita connection on noncommutative differential forms
Bram Mesland, Adam Rennie
We combine Hilbert module and algebraic techniques to give necessary and sufficient conditions for the existence of an Hermitian torsion-free connection on the bimodule of differen…