3 papers
math.SP2026
Friedlander's inequality and the de Rham complex
Magnus Fries, Magnus Goffeng, Germán Miranda
Inequalities between Dirichlet and Neumann eigenvalues of the Laplacian and of other differential operators have been intensively studied in the past decades. The aim of this paper…
math.OA2026
Parabolic noncommutative geometry
Magnus Fries, Magnus Goffeng, Ada Masters
We introduce to spectral noncommutative geometry the notion of tangled spectral triple, which encompasses the anisotropies arising in parabolic geometry as well as the parabolic co…
math.KT2025
The relative index theorem and a characterization of Fredholm operators
Magnus Fries
We extend the relative index theorem on non-compact manifolds to encompass a wide variety of hypoelliptic differential operators of arbitrary order, demonstrating that the change i…