Trisection reformulation of homologically trivial linearization for cyclic actions on the complex projective plane

Let $a4n$ act smoothly and homologically trivially on $a4cp^2$, and let an equivariant trisection be a trisection preserved by the action. Homologically trivial linearization conjecture, trisection form. Every homologically trivial $a4n$-action on $a4cp^2$ admits a genus-one equivariant trisection. This is presented as a reformulation of the smooth linearization conjecture above; the corresponding smooth statement remains open, although the conjecture is known in the symplectic case and topologically.