Abstract: Introduced by Guth and Manolescu, real Heegaard Floer homology is an invariant associated to 3-manifolds equipped with an involution. In this talk, we will see how under certain assumptions, the real Heegaard Floer homology groups admit an absolute Z/2 grading. We then specialize to double branched covers of links in S^3, and the Euler characteristic in this case is the Heegaard Floer analogue of Miyazawa’s degree invariant. Once the signs are fixed, we show that this quantity can be computed inductively using a skein relation. Furthermore, we show that it can be expressed in terms of the Alexander polynomial of the link.