I assume that you know that $\mu$ indicates the presence of a ligand bridge in the complex between two metallic centers.
From the IUPAC Golden Book:
An affix in the name of a polydentate chelate complex indicating
single ligating atom attachments of a polyatomic ligand to a
coordination centre. A right superscript numerical index indicates the
number of such attachments. Example:
$$\ce{Ni[(CH3)2PCH2CH2P(CH3)2]Br2}$$
$$\text{dibromobis[1,2-ethanediylbis(dimethylphosphine)-}κ^2\text{P] nickel(II)}$$
So, $\kappa$ is used to describe the apticity of a polidentate ligand, that is how many functional groups of a ligand coordinate a certain central ion and which atoms are involved.
In the IUPAC example the ligand is bidentate and 2 phosphorous atoms are involved in the chelation.
In your case, you have two cobalt ions bridged by an $\ce{SO2}$ molecule. However it seems a little odd to me that your reference reports formulas without the correct charge balance... stating that there is a cobalt complex with coordination number 5 and with neutral charge. Are you sure this is the correct formula?
Anyway, reading literally what is written in your question: there are 2 metallic centers bridged by an $\ce{SO2}$ molecule and in which 1-sulfur atom, and 2-oxygen atoms coordinate respectively the first cobalt ion and the second cobalt ion. I think, however, that such a complex is not possible and this could probably be just the stoichiometry of a unit cell for the crystal lattice.