Orbifolds of two-dimensional quantum field theories have a natural formulation in terms of
defects or domain walls. This perspective allows for a rich generalisation of the orbifolding …

This is a survey article for the Encyclopedia of Mathematical Physics, 2nd Edition.
Topological defects are described in the context of the 2-dimensional Ising model on the …

We provide a lightning review of the construction of (generalised) orbifolds [FFRS2, CR2] of
two-dimensional quantum field theories in terms of topological defects, along the lines of …

Orbifolding two-dimensional quantum field theories by a symmetry group can involve a
choice of discrete torsion. We apply the general formalism of 'orbifolding defects' to study …

We study orbifolds of two-dimensional topological field theories using defects. If the TFT
arises as the twist of a superconformal field theory, we recover results on the Neveu …

We initiate a systematic study of 3-dimensional 'defect'topological quantum field theories,
that we introduce as symmetric monoidal functors on stratified and decorated bordisms. For …

These notes offer a lightening introduction to topological quantum field theory in its functorial
axiomatisation, assuming no or little prior exposure. We lay some emphasis on the …

We prove a conjectured decomposition of deformed sl N link homology, as well as an
extension to the case of colored links, generalizing results of Lee, Gornik, and Wu. To this …

We define reduced colored gl N link homologies and use deformation spectral sequences to
characterize their dependence on color and rank. We then define reduced colored HOMFLY …

These notes offer an introduction to the functorial and algebraic description of 2-dimensional
topological quantum field theorieswith defects', assuming only superficial familiarity with …