F. Bei

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20182026

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math.DG2026

Geometric Rigidity via Almost-Harmonic Twisted Spinors

Francesco Bei, Simone Cecchini

We establish sharp scalar-curvature bounds and rigidity consequences of Gromov's exact-lift two-form method. Let $(M^{n}, g)$ , $n \geq 4$ even, be a closed spin Riemannian manifold car…

math.DG2023

Compact convergence, deformation of the $L^{2}$ - $\partial$ -complex and canonical $K$ -homology classes

Francesco Bei

Let $(X, γ)$ be a compact, irreducible Hermitian complex space of complex dimension $m$ and with $dim (sing (X)) = 0$ . Let $(F, τ) \to X$ be a Hermitian holomorp…

math.DG2020

A note on higher Todd genera of complex manifolds

Francesco Bei, Paolo Piazza

Let $M$ be a compact complex manifold. In this paper we give a simple proof of the bimeromorphic invariance of the higher Todd genera of $M$ , a result first proved implicitly by Br…

math.DG2019

On analytic Todd classes of singular varieties

Francesco Bei, Paolo Piazza

Let $(X, h)$ be a compact and irreducible Hermitian complex space. This paper is devoted to various questions concerning the analytic K-homology of $(X, h)$ . In the fist part, assumi…

math.DG2018

Symplectic manifolds, $L^{p}$ -cohomology and $q$ -parabolicity