A self-pairing theorem for tangle Floer homology

الأصل · EN

We show that for a tangle T with -∂⁰T ∂¹ T the Hochschild homology of the tangle Floer homology CT(T) is equivalent to the link Floer homology of the closure T' = T/(-∂⁰T ∂¹ T) of the tangle, linked with the tangle axis. In addition, we show that the action of the braid group on tangle Floer homology is faithful.