1 citations · 1 across the 2 of their papers we have counts for
4 papers
Relative torsion and bordism classes of positive scalar curvature metrics on manifolds with boundary
Simone Cecchini, Mehran Seyedhosseini, Vito Felice Zenobi
In this paper, we define a relative --invariant for Dirac operators on odd-dimensional spin manifolds with boundary and show that they are invariants of the bordism classes…
A long neck principle for Riemannian spin manifolds with positive scalar curvature
Simone Cecchini
We develop index theory on compact Riemannian spin manifolds with boundary in the case when the topological information is encoded by bundles which are supported away from the boun…
Callias-type operators in von Neumann algebras
Maxim Braverman, Simone Cecchini
We study differential operators on complete Riemannian manifolds which act on sections of a bundle of finite type modules over a von Neumann algebra with a trace. We prove a relati…
Critical points of solutions of degenerate elliptic equations in the plane
Simone Cecchini, Rolando Magnanini
We study the minimizer u of a convex functional in the plane which is not Gâteaux-differentiable. Namely, we show that the set of critical points of any C^1-smooth minimizer can no…