collaborators

3 papers

math.DG2026

Nearly Parallel -Structures with Torus Symmetry

Giovanni Russo, Andrew Swann

We study nearly parallel -structures with a three-torus symmetry via multi-moment map techniques. An effective three-torus action on a nearly parallel $\mathrm{G}_{…

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.DG2026

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…