  The SO(3)-monopole program, initiated by Pidstrigatch and Tyurin
[arXiv:dg-ga/9507004], yields a relationship between the Donaldson and
Seiberg-Witten invariants through a cobordism between the moduli spaces
defining these invariants. The main technical difficulty in this program lies
in describing the links of singularities in this cobordism arising from the
Seiberg-Witten moduli subspaces. In related articles, we defined maps which,
essentially, define normal bundles of strata of these singularities. The link
in question is then the boundary of the union of the tubular neighborhoods
associated with these normal bundles. However, the SO(3)-monopole program
requires the computation of intersection numbers with links where more than one
stratum appears in the family of singularities and thus more than one tubular
neighborhood appears in the definition of the link. Computations of
intersection numbers in unions of open sets have proved difficult for even two
open sets, as early work of Leness [arXiv:dg-ga/9603016] and Ozsvath [1994]
demonstrated. In this note, we give a brief introduction to our monograph
[arXiv:math/0203047], in which we implement these computations.
