98 citations · 341 across the 35 of their papers we have counts for
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math.KT2025
The odd spectral localiser via asymptotic morphisms and quasi-projections
Yuezhao Li, Bram Mesland
We describe the index pairing between an odd K-theory class and an odd unbounded Kasparov module by a pair of quasi-projections, supported on a submodule obtained from a finite spe…
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.OA2025
Ideal quantum metrics from fractional Laplacians
Dimitris Michail Gerontogiannis, Bram Mesland
We develop a novel framework for Monge--Kantorovič metrics using Schatten ideals and commutators of fractional Laplacians on Ahlfors regular spaces. Notably, for those metrics we d…