UC San Diego

We prove that Morrison and Nieh's categorification of the su(3) quantum link invariant is functorial with respect to tangle cobordisms. This is in contrast to the categorified su₂ theory [Kho00, BN05], which was not functorial as originally defined [Jac04, CMW]. We use methods of Bar- Natan [BN07] to construct explicit chain maps for each variation of the third Reidemeister move. Then, to show functoriality, we modify arguments used by Clark, Morrison, and Walker [CMW] to show that induced chain maps are invariant under Carter and Saito's movie moves [CS93, CRS97]