This adjective describes a class of functorial field theories in which the correlation functions are metric-independent.
This adjective describes a class of functorial field theories in which the correlation functions are metric-independent. Those theories are broadly divided into "Witten-type" and "Schwarz-type", and an example of the latter is the theory of Chern and Simons. A type of computing described by this adjective braids and fuses certain non-abelian quasiparticles; the Fibonacci model exemplifies that type of computing. One class of quantum error-correcting codes described by this adjective permits the characterization of stabilizer violations as anyons; Kitaev's toric code is one example. This adjective describes a property held by systems that are robust against all local perturbations; (*) that property is this kind of "order". This adjective also describes a class of materials that includes bismuth antimonide, which are characterized by symmetry-protected surface states; those are namesake "insulators". For 10 points, give this adjective that also describes spaces with particular configurations of open sets, like Kolmogorov and Hausdorff spaces.
This adjective describes a class of functorial field theories in which the correlation functions are metric-independent.
topological [or word forms] (the astute reader will notice that this tossup does not commit the Voightian mistake of claiming that "topological" is a single property shared by all the described things)