[zmgsabst]

You only need the topology to carry quantum numbers, as I understand it. Anyons are experimentally confirmed to carry non-local quantum state (ie, a single quantum value shared across the constituent electrons).

Bohm worked before recent innovations, eg,

https://en.wikipedia.org/wiki/Anyon

https://en.wikipedia.org/wiki/Topological_quantum_computer

https://www.nature.com/articles/nphys1504#MOESM8