Twisting bordered Khovanov homology
arXiv:1403.0959
Abstract
We describe a bordered version of totally twisted Khovanov homology. We first twist Roberts's type structure by adding a "vertical" type structure which generalizes the vertical map in twisted tangle homology. One of the distinct advantages of our type structure is that it is homotopy equivalent to a type structure supported on "spanning tree" generators. We also describe how to twist Roberts's type structure for a left tangle in such a way that pairing our type and type structures will result in the totally twisted Khovanov homology.
56 pages, many figures