Geodesic
Functoriality for the 𝔰𝔲3 Khovanov homology
Clark, David1
1 Randolph-Macon College, 204 Henry Street, Ashland, VA 23005, USA
Algebraic and Geometric Topology, Tome 9 (2009) no. 2, pp. 625-690

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

We prove that the categorified su3 quantum link invariant is functorial with respect to tangle cobordisms. This is in contrast to the categorified su2 theory, which was not functorial as originally defined.

We use methods of Morrison and Nieh and Bar-Natan 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 to show that induced chain maps are invariant, up to homotopy, under Carter and Saito’s movie moves.

DOI : 10.2140/agt.2009.9.625
Keywords: Khovanov, categorification, link cobordism, su(3), quantum invariant

Clark, David 1

1 Randolph-Macon College, 204 Henry Street, Ashland, VA 23005, USA 
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Clark, David. Functoriality for the 𝔰𝔲3 Khovanov homology. Algebraic and Geometric Topology, Tome 9 (2009) no. 2, pp. 625-690. doi: 10.2140/agt.2009.9.625

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