▁Tom asz ▁M row ka , ▁formerly ▁known ▁as ▁the ▁Mil nor ▁conject ure ▁( see ▁below ). ▁Con ject ur ally , ▁there ▁is ▁a ▁spectral ▁sequence ▁rel ating ▁Kh ovan ov ▁hom ology ▁with ▁the ▁kn ot ▁Flo er ▁hom ology ▁of ▁Peter ▁O z sv á th ▁and ▁Z olt án ▁Sz ab ó ▁( D un field ▁et ▁al . ▁ 2 0 0 5 ). ▁Another ▁spectral ▁sequence ▁( O z sv á th - S z ab ó ▁ 2 0 0 5 ) ▁rel ates ▁a ▁variant ▁of ▁Kh ovan ov ▁hom ology ▁with ▁the ▁He ega ard ▁Flo er ▁hom ology ▁of ▁the ▁branch ed ▁double ▁cover ▁along ▁a ▁kn ot . ▁A ▁third ▁( B lo om ▁ 2 0 0 9 ) ▁converges ▁to ▁a ▁variant ▁of ▁the ▁mon op ole ▁Flo er ▁hom ology ▁of ▁the ▁branch ed ▁double ▁cover . ▁In ▁ 2 0 1 0 ▁K ron heimer ▁and ▁M row ka ▁ ▁exhib ited ▁a ▁spectral ▁sequence ▁ab ut ting ▁to ▁their ▁inst anton ▁kn ot ▁Flo er ▁hom ology ▁group ▁and ▁used ▁this ▁to ▁show ▁that ▁Kh ovan ov ▁Hom ology ▁( like ▁the ▁inst anton ▁kn ot ▁Flo er ▁hom ology ) ▁detect s ▁the ▁un k not . ▁ ▁Kh ovan ov ▁hom ology ▁is ▁related ▁to ▁the ▁representation ▁theory ▁of ▁the ▁Lie ▁algebra ▁sl 2 . ▁Mik h ail ▁Kh ovan ov ▁and ▁Lev ▁Ro z ans ky ▁have ▁since ▁defined ▁coh om ology ▁theories