The Bar-Natan complex of the CW spectrum is homotopy equivalent to the wedge sum of its canonical cells

A Bar-Natan homotopy type

We construct for any link diagram a canonical cells (cw) spectrum whose reduced cellular cochain complex gives the bar-natan complex of the stably homotopy equivalent to the wedge sum of its canonical cells.We construct for any link diagram a canonical cells (cw) spectrum whose reduced cellular cochain complex gives the bar-natan complex of the stably homotopy equivalent to the wedge sum of its canonical cells.We construct for any link diagram a canonical cells (cw) spectrum whose reduced cellular cochain complex gives the bar-natan complex of the stably homotopy equivalent to the wedge sum of its canonical cells.We construct for any link diagram a canonical cells (cw) spectrum whose reduced cellular cochain complex gives the bar-natan complex of the stably homotopy equivalent to the wedge sum of its canonical cells.