  In this paper, we produce a mapping class group invariant pressure metric on
the space QF(S) of quasiconformal deformations of a co-finite area Fuchsian
group uniformizing a surface S. Our pressure metric arises from an analytic
pressure form on QF(S) which is degenerate only on pure bending vectors on the
Fuchsian locus. Our techniques also show that the Hausdorff dimension of the
limit set varies analytically over QF(S).
