For a word in the braid group , we denote by the corresponding transverse braid in . We exhibit, for any two , a “comultiplication” map on link Floer homology which sends to . We use this comultiplication map to generate infinitely many new examples of prime topological link types which are not transversely simple.
"Comultiplication in link Floer homology and transversely nonsimple links." Algebr. Geom. Topol. 10 (3) 1417 - 1436, 2010. https://doi.org/10.2140/agt.2010.10.1417