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We study the influence of strong spin-orbit interaction on the formation offlat bands in relaxed twisted bilayer WSe$_2$. Flat bands, well separated inenergy, emerge at the band edges for twist angles ($\theta$) near 0$^{\circ}$and 60$^{\circ}$. For $\theta$ near 0$^{\circ}$, the interlayer hybridizationtogether with a moir\'{e} potential determines the electronic structure. Thebands near the valence band edge have nontrivial topology, with Chern numbersequal to +1 or $-$1. We propose that the nontrivial topology of the first bandcan be probed experimentally for twist angles less than a critical angle of3.5$^{\circ}$. For $\theta$ near 60$^{\circ}$, the flattening of the bandsarising from the K point of the unit cell Brillouin zone is a result of atomicrearrangements in the individual layers. Our findings on the flat bands and thelocalization of their wavefunctions for both ranges of $\theta$ match well withrecent experimental observations.

Moir\'{e} induced topology and flat bands in twisted bilayer WSe$_2$: A first-principles study