On the Spectral Sequence from Khovanov Homology to Heegaard Floer Homology

Ozsváth and Szabó show in [10] that there is a spectral sequence whose E term is g Kh(L), and which converges to d HF (−Σ(L)). We prove that the E term of this spectral sequence is an invariant of the link L for all k ≥ 2. If L is a transverse link in (S, ξstd), then we show that Plamenevskaya’s transverse invariant ψ(L) gives rise to a transverse invariant of L in the E term for each k ≥ 2.