  BPS states in supersymmetric theories can admit additional algebro-geometric
structures in their spectra, described as quiver Yangian algebras. Equivariant
fixed points on the quiver variety are interpreted as vectors populating a
representation module, and matrix elements for the generators are then defined
as Duistermaat-Heckman integrals in the vicinity of these points. The
well-known wall-crossing phenomena are that the fixed point spectrum
establishes a dependence on the stability (Fayet-Illiopolous) parameters
$\zeta$, jumping abruptly across the walls of marginal stability, which divide
the $\zeta$-space into a collection of stability chambers -- ``phases'' of the
theory. The standard construction of the quiver Yangian algebra relies heavily
on the molten crystal model, valid in a sole cyclic chamber where all the
$\zeta$-parameters have the same sign. We propose to lift this restriction and
investigate the effects of the wall-crossing phenomena on the quiver Yangian
algebra and its representations -- starting with the example of affine
super-Yangian $\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})$. In addition to the
molten crystal construction more general atomic structures appear, in other
non-cyclic phases (chambers of the $\zeta$-space). We call them glasses and
also divide in a few different classes. For some of the new phases we manage to
associate an algebraic structure again as a representation of the same affine
Yangian $\mathsf{Y}(\widehat{\mathfrak{gl}}_{1|1})$. This observation supports
an earlier conjecture that the BPS algebraic structures can be considered as
new wall-crossing invariants.
