32 citations · 73 across the 12 of their papers we have counts for
14 papers
The decategorification of bordered Khovanov homology
Lawrence Roberts
In two previous papers, the author showed how to decompose the Khovanov homology of a link into the algebraic pairing of a type D structure and a type A structure (as…
Planar algebras and the decategorification of bordered Khovanov homology
Lawrence Roberts
We give a simple, combinatorial construction of a unital, spherical, non-degenerate -planar algebra over the ring . This planar algebra is simil…
On non-isotopic spanning surfaces for a class of arborescent knots
Lawrence Roberts
We use the methods of Hedden, Juhasz, and Sarkar to exhibit a set of arborescent knots that bound large numbers of non-isotopic minimal genus spanning surfaces. In particular, we d…
A type A structure in Khovanov Homology
Lawrence P. Roberts
Inspired by bordered Floer homology, we describe a type A structure on a Khovanov homology for a tangle, which complements the type D structure in a previous paper. The type A stru…
A type D structure in Khovanov homology
Lawrence P. Roberts
We describe the first part of a gluing theory for the bigraded Khovanov homology with integer coefficients. This part associates a type D structure to a tangle properly embedded in…
Twisted skein homology
Nguyen D. Duong, Lawrence P. Roberts
We apply the techniques of totally twisted Khovanov homology to the constructions by M. Asaeda, J. Przytycki, and A. Sikora of Khovanov type homologies for links and tangles in I-b…