We compute different versions of link Floer homology
and
for any
-space
link with two components. The main approach is to compute the
-function of
the filtered chain complex which is determined by Alexander polynomials of all sublinks of
the
-space
link. As an application, the Thurston norm of its complement is explicitly determined
by Alexander polynomials of the link and its components.
Keywords
$L$-space links, link Floer homology, Thurston polytopes