The Bar-Natan theory splits Wigderson, Yuval Khovanov homology categorification Bar-Natan theory link homology We show that over the binary field [Formula: see text], the Bar-Natan perturbation of Khovanov homology splits as the direct sum of its two reduced theories, which we also prove are isomorphic. This extends Shumakovitch’s analogous result for ordinary Khovanov homology, without the perturbation. World Scientific Publishing 2016 info:eu-repo/semantics/article doc-type:article text http://purl.org/coar/resource_type/c_2df8fbb1 https://research-explorer.ista.ac.at/record/22171 Wigderson Y. The Bar-Natan theory splits. <i>Journal of Knot Theory and Its Ramifications</i>. 2016;25(04). doi:<a href="https://doi.org/10.1142/s0218216516500140">10.1142/s0218216516500140</a> eng info:eu-repo/semantics/altIdentifier/doi/10.1142/s0218216516500140 info:eu-repo/semantics/altIdentifier/issn/0218-2165 info:eu-repo/semantics/altIdentifier/e-issn/1793-6527 info:eu-repo/semantics/altIdentifier/arxiv/1508.05982 info:eu-repo/semantics/openAccess