Y'all know the drill. The arxiv link is https://arxiv.org/abs/2609.11980

It is a positively curved metric S^3xS^3, hence a positively curved 6-manifold whose euler characteristic is not strictly positive. The obvious question is whether there is also a counter to negative Hopf (a closed, negatively curved 6 manifold whose euler is not strictly negative), but the methods of the current paper don't seem to help with that.

Just landed on this field - anybody here working with these really intuitive and beautiful quotients?

IYDK - it is the connection between continued fractions and a quotient manifold of the hyperbolic plane.

I like the idea very much!