22 citations · 22 across the 16 of their papers we have counts for
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math.OA2024
Wishart cones and quantum geometry
Noemie C. Combe
An important object appearing in the framework of the Tomita--Takesaki theory is an invariant cone under the modular automorphism group of von Neumann algebras. As a result of the…
math.DG2024
Learning on hexagonal structures and Monge-Ampère operators
Noémie C. Combe
Dually flat statistical manifolds provide a rich toolbox for investigations around the learning process. We prove that such manifolds are Monge-Ampère manifolds. Examples of such m…
math.AG2024
Landau-Ginzburg models, Monge-Ampère domains and (pre-)Frobenius manifolds
Noémie C. Combe
Kontsevich suggested that the Landau-Ginzburg model presents a good formalism for homological mirror symmetry. In this paper we propose to investigate the LG theory from the viewpo…