… Lee [ 31 ] makes another homological invariant of knots and links by using a different …
Working with a boundary operator, as we did with the Khovanov chain complex, means taking into …

… operator U acts on the Khovanov homology, and we obtain a direct relationship between
Khovanov homology … the unitary transformation and the homological structure. This relation is …

… algebra, for it being a mix of homological algebra and the theory of Hopf algebras. …
Existence of the Jordan form for the nilpotent operator X acting on an H-module implies that any …

… ABSTRACT We construct an algebra of nontrivial homological operations on Khovanov …
We also define several homological operations on different versions of Khovanov homology. For …

… 2–handle operator t to be equal the 2–handle operator T … complex without losing any
homological information relative to F . … Khovanov homology case indeed we lose information and …

… We also note that the homological degrees 𝑖 which support the homology run from −3 to 0
… be applying three algebraic operations to copies of 𝑉; these operations are tensor product, …

… algebra, for it being a mix of homological algebra and the theory of Hopf algebras. We were
… Existence of the Jordan form for the nilpotent operator X acting on an H-module implies that …

… operations are defined as (C[k]{l})ij = C[i − k]{j − l}. This form is used as the starting point for
the Khovanov homology. … Then, if we define the chain space [[K]]k of homological dimension k …

… We use our supercategory to construct homological invariants of tangles and show that for
… By a long and rather tedious computation one can check that the operators above satisfy the …

… Thus we need to see that given such a linear combination, it is homologous to “itself” as a
single simplicial … We introduce face operators (partial boundaries in our previous terminology) …