We introduce a tropical geometric framework that allows us to define $\psi$ classes for moduli spaces of curves arbitrary genus. prove correspondence theorems between algebraic and some one-dimensional families genus-one curves.

Since the early 21st century, middle classes of Global South became a focus attention. However, precarious minimum income was all it took to be considered class. But who exactly is class? As term applied, should certainly not confused with Marxist theories It refers socio-economic status somewhere between highest and lowest echelons society. What constitutes class remains too nebulous. This art...