Francesco Bei

activity

20122024

collaborators

3 papers

math.DG2024

$L^{2}$ -harmonic forms and spinors on stable minimal hypersurfaces

Francesco Bei, Giuseppe Pipoli

Let $f : N \to (M, g)$ be an oriented (or spin), complete, stable, minimal, immersed hypersurface. In this paper we establish various vanishing theorems for the space of $L^{2}$ -…

math.DG2023

Stability of $L^{2} -$ invariants on stratified spaces

Francesco Bei, Paolo Piazza, Boris Vertman

Let $M$ be a compact smoothly stratified pseudo-manifold endowed with a wedge metric $g$ . Let $M_{Γ}$ be a Galois $Γ$ -covering. Under additional assumptions on…

math.DG2012

The $L^{2} -$ Atiyah-Bott-Lefschetz theorem on manifolds with conical singularities. A heat kernel approach

Francesco Bei

Using an approach based on the heat kernel we prove an Atiyah-Bott-Lefschetz theorem for the $L^{2} -$ Lefschetz numbers associated to an elliptic complex of cone differential operator…

L2-harmonic forms and spinors on stable minimal hypersurfaces

Stability of L2−invariants on stratified spaces

The L2−Atiyah-Bott-Lefschetz theorem on manifolds with conical singularities. A heat kernel approach

$L^{2}$ -harmonic forms and spinors on stable minimal hypersurfaces

Stability of $L^{2} -$ invariants on stratified spaces

The $L^{2} -$ Atiyah-Bott-Lefschetz theorem on manifolds with conical singularities. A heat kernel approach