Topological Physics – Phenomena in physics controlled by the topology (often: the homotopy theory) of the physical system.

General theory:

(extended) topological field theory

Chern-Simons theory

In solid state physics:

topological state of matter

quantum material

gapped Hamiltonian

topological order, symmetry protected trivial order

topological insulator

quantum Hall effect, quantum spin Hall effect

anyons, braid group statistics

topological quantum computation

In electromagnetism:

In quantum hadrodynamics:

In quantum chromodynamics: