  In the following work, an attempt to conciliate the Ricci flow conjecture and
the Cobordism conjecture, stated as refinements of the Swampland distance
conjecture and of the No global symmetries conjecture respectively, is
presented. This is done by starting from a suitable manifold with trivial
cobordism class, applying surgery techniques to Ricci flow singularities and
trivialising the cobordism class of one of the resulting connected components
via the introduction of appropriate defects. The specific example of
$\Omega^{SO}_4$ is studied in detail. A connection between the process of
blowing up a point of a manifold and that of taking the connected sum of such
with $\mathbb{CP}^n$ is explored. Hence, the problem of studying the Ricci flow
of a $K3$ whose cobordism class is trivialised by the addition of $16$ copies
of $\mathbb{CP}^2$ is tackled by applying both the techniques developed in the
previous sections and the classification of singularities in terms of ADE
groups.
