Khovanov-type homologies of null homologous links in RP³ · arXivDeskAbstract
Let L be a null homologous link in RP3. We define Khovanov-type homologies of L which depend on an extra input α=(V0,V1,f,g)
consisting of two graded vectors spaces and two maps between them. With some specific choice of
, we recover the categorification of the Kauffman bracket due to Asaeda-Przytycki-Sikora. With another choice of
, we construct a spectral sequence from our theory converging to the Heegaard Floer homology of the even branched double cover of
.