Plumbing Is a Natural Operation in Khovanov Homology

  • Published 2017
Given a connect sum of link diagrams, there is an isomorphism which decomposes unnormalized Khovanov chain groups for the product in terms of normalized chain groups for the factors; this isomorphism is straightforward to see on the level of chains. Similarly, any plumbing x ∗ y of Kauffman states carries an isomorphism of the chain subgroups generated by… CONTINUE READING