Poincaré-Hopf Invariants for Superfluid Flows, for microgravity experiments at the ISS 

Poincaré-Hopf Invariants for a Bose-Einstein Condensate on a sphere

Zero-gravity conditions available at the International Space Station allow to study superfluid flows on surfaces without an edge, e.g. spheres. The corresponding velocity flow obeys a set of rigid global constraints, governed by the Poincaré–Hopf theorem. This sub-proposal contributed to a larger proposal for a set of experiments in a "bubble" trap, at the International Space Station[LG+23].