  Every smooth minimal complex algebraic surface of general type, $X$, may be
mapped into a moduli space, $\MM_{c_1^2(X), c_2(X)}$, of minimal surfaces of
general type, all of which have the same Chern numbers. Using the braid group
and braid monodromy,we construct infinitely many new examples of pairs of
minimal surfaces of general type which have the same Chern numbers and
non-isomorphic fundamental groups. Unlike previous examples, our results
include $X$ for which $|\pi_1(X)|$ is arbitrarily large. Moreover, the surfaces
are of positive signature. This supports our goal of using the braid group and
fundamental groupsto decompose $\MM_{c_1^2(X),c_2(X)}$ into connected
components.
