2 papers
math.DG2026
Left-invariant harmonic spinors on three-dimensional Lie groups
Alejandro Gil-García, Giovanni Russo
We study the existence of left-invariant harmonic spinors on three-dimensional Lie groups equipped with a left-invariant pseudo-Riemannian metric. An existing formula for the spin…
math.DG2024
On the nu-invariant of two-step nilmanifolds with closed G2-structure
Anna Fino, Gueo Grantcharov, Giovanni Russo
For every non-vanishing spinor field on a Riemannian spin seven-manifold, Crowley, Goette, and Nordström defined the so-called -invariant. This is an integer modulo that de…