Characters of logarithmic vertex operator algebras and coloured invariants of torus links

We show that the characters of ${\mathfrak{s}\mathfrak{l}}_r$ versions of the $(1,p)$ singlet and the $(1,p)$ triplet VOAs arise as limits of appropriately coloured ${\mathfrak{s}\mathfrak{l}}_r$ Jones invariants of certain torus links.