(generalized/super) Group cohomology construction and classification of (interacting) bosonic/fermionic SPT states(RGFP wave-functions,tensor network)

Finding their physical “meanings”, explicit models, not just abstract (not complete) classification

Effective field theories: NLSM and topological terms(dual DW model), gauging and gauge response, anomalies

(Crystalline) free fermion systems: TI/TSC band theory(Berry phase, topological invariants and effective theory, gauge response, anomaly), classification(extension of Clifford algebra, K theory, vector bundle and characteristic classes, boundary NLSM, absence of localization, effective theory)

FQHE and topological orders: MTC models: (twisted)quantum double), Levin-Wen,…(not planning yet)