Michael Albanese

collaborators

2 papers

math.DG2026

Hodge theoretic results for nearly KÃ¤hler manifolds in all dimensions

Michael Albanese, Spiro Karigiannis, LucÃa MartÃn-MerchÃ¡n +1

We generalize to nearly KÃ¤hler manifolds of arbitrary dimensions most of the Hodge-theoretic results for nearly KÃ¤hler $6$ -manifolds that were established by Verbitsky. In partic…

math.DG2025

Aspherical Complex Surfaces, the Singer Conjecture, and Gromov-LÃ¼ck Inequality $I ¨ \geq ∣ I ¨ ∣$

Michael Albanese, Luca F. Di Cerbo, Luigi Lombardi

We discuss the Singer conjecture and Gromov-LÃ¼ck inequality $I ¨ \geq ∣ I ¨ ∣$ for aspherical complex surfaces. We give a proof of the Singer conjecture for aspherical complex surface…

Hodge theoretic results for nearly KÃ¤hler manifolds in all dimensions

Aspherical Complex Surfaces, the Singer Conjecture, and Gromov-LÃ¼ck Inequality I¨≥∣I¨∣

Aspherical Complex Surfaces, the Singer Conjecture, and Gromov-LÃ¼ck Inequality $I ¨ \geq ∣ I ¨ ∣$