3 papers
math.DG2024
The Dirac-Dolbeault Operator Approach to the Hodge Conjecture
Simone Farinelli
The Dirac-Dolbeault operator for a compact Kähler manifold is a special case of a Dirac operator. The Green function for the Dirac Laplacian over a Riemannian manifold with bounda…
math.GM2024
Renormalized Four Dimensional Quantum Yang-Mills Theory and Mass Gap
Simone Farinelli
A quantization procedure for the Yang-Mills equations for the Minkowski space is carried out in such a way that field maps satisfying Wightman axioms of Construc…
math.DG2024
Riemannian Metrics and Harmonic Sections of Spinor Bundles
Simone Farinelli
We study the clustering of the lowest non negative eigenvalue of the Dirac operator on a general Dirac bundle when the metric structure is varied. In the classical case we show tha…