Capillary prisms, Coxeter gluing, and the ${\pi }_2$-systole of 3-manifolds with positive scalar curvature

Shihang He, Chao Li

We study the ${\pi }_2$-systole of positive scalar curvature $3$-manifolds via a local-to-global approach. The tessellated local building blocks are capillary prisms $M$: Riemannian cyl…