  This contribution, to be published in Imagine Math 8 to celebrate Michele
Emmer's 75th birthday, can be seen as the second part of my previous
considerations on the relationships between topology and physics (Mouchet,
2018). Nevertheless, the present work can be read independently. The following
mainly focusses on the connection between topology and quantum statistics. I
will try to explain to the non specialist how Feynman's interpretation of
quantum processes through interference of classical paths (path integrals
formulation), makes the dichotomy between bosons and fermions quite natural in
three spatial dimensions. In (effective) two dimensions, the recent
experimental evidence of intermediate statistics (anyons) (Bartolomei et al.
2020) comfort that topology (of the braids) provides a fertile soil for our
understanding of quantum particles.
