25 citations · 152 across the 42 of their papers we have counts for
4 papers · 1 filter
Exotic cyclic cohomology classes and Lipschitz algebras
Magnus Goffeng, Ryszard Nest
We study the noncommutative geometry of algebras of Lipschitz continuous and Hölder continuous functions where non-classical and novel differential geometric invariants arise. Inde…
Index theory of hypoelliptic operators on Carnot manifolds
Magnus Goffeng, Alexey Kuzmin
We study the index theory of hypoelliptic operators on Carnot manifolds -- manifolds whose Lie algebra of vector fields is equipped with a filtration induced from sub-bundles of th…
The magnitude and spectral geometry
Heiko Gimperlein, Magnus Goffeng, Nikoletta Louca
We study the geometric significance of Leinster's notion of magnitude for a smooth manifold with boundary of arbitrary dimension, motivated by open questions for the unit disk in $…
Semiclassical analysis of a nonlocal boundary value problem related to magnitude
Heiko Gimperlein, Magnus Goffeng, Nikoletta Louca
We study a Dirichlet boundary problem related to the fractional Laplacian in a manifold. Its variational formulation arises in the study of magnitude, an invariant of compact metri…