Browsing by Author "Sethi, Shikhin"

Lipshitz, Ozsváth, and Thurston extend the theory of bordered Heegaard Floer homology to compute CF minus. Like with the hat theory, their minus invariants provide a recipe to compute knot invariants associated to satellite knots. We combinatorially construct the weighted A infinity-modules associated to the (p, 1)-cable. The operations on these modules count certain classes of inductively constructed decorated planar graphs. This description of the weighted A infinity-modules provides a combinatorial proof of the A infinity structure relations for the modules. We further prove a uniqueness property for the modules we construct: any weighted extensions of the unweighted U = 0 modules have isomorphic associated type D modules.