  Recent studies have focused on laser-induced gaps in graphene which have been
shown to have a topological origin, thereby hosting robust states at the sample
edges. While the focus has remained mainly on these topological chiral edge
states, the Floquet bound states around defects lack a detailed study. In this
paper we present such a study covering large defects of different shape and
also vacancy-like defects and adatoms at the dynamical gap at $\hbar\Omega/2$
($\hbar\Omega$ being the photon energy). Our results, based on analytical
calculations as well as numerics for full tight-binding models, show that the
bound states are chiral and appear in a number which grows with the defect
size. Furthermore, while the bound states exist regardless the type of the
defect's edge termination (zigzag, armchair, mixed), the spectrum is strongly
dependent on it. In the case of top adatoms, the bound states quasi-energies
depend on the adatoms energy. The appearance of such bound states might open
the door to the presence of topological effects on the bulk transport
properties of dirty graphene.
