(12) at (0,1) [$\bullet$]{}; (21) at (3,1.5) [$\bullet$]{}; (22) at (3,1) [$\bullet$]{}; (23) at (3,.5) [$\bullet$]{}; (24) at (3,0) [$\bullet$]{}; (31) at (6,1.5) [$\bullet$]{}; (32) at (6,1) [$\bullet$]{}; (33) at (6,.5) [$\bullet$]{};

\(31) – (21); (32) – (22); (33) – (23); (21) – (11);

at (3,1.5) ; at (6.5,1.5) [$\beta_4$]{};

at (4.5,0.75) ; at (6.5,.75) [$\beta_2$]{};

(0,1) circle \[radius=0.2\] node \[left\] [$\beta_6$]{}; (3,0) circle \[radius=0.2\] node \[left\] [$\beta_3$]{};

which says that $\Omega_{{\boldsymbol{\mathrm{m}}}}$ consists of those quiver representations in ${\boldsymbol{\mathrm{Rep}}}_{(2,4,3)}$ for which the lefthand mapping ${\mathbb{C}}^4 \to {\mathbb{C}}^2$ from vertex $2$ to vertex $1$ has rank $1$, the righthand mapping ${\mathbb{C}}^3 \to {\mathbb{C}}^4$ from vertex $3$ to vertex $2$ has full rank, and the intersection of the kernel of the lefthand map and the image of the righthand map has dimension $2$.

In the case of Dynkin quivers, the closure of the orbit $\overline{\Omega}_{{\boldsymbol{\mathrm{m}}}}\subset {\boldsymbol{\mathrm{Rep}}}_\gamma$ is called a *quiver locus* and its equivariant fundamental class $[\overline{\Omega}_{{\boldsymbol{\mathrm{m}}}}] \in {\mathrm{H}}^\bullet_{{\boldsymbol{{\mathrm{GL}}}}_\gamma}({\boldsymbol{\mathrm{Rep}}}_\gamma)$ is called a *quiver polynomial*. These characteristic classes (and their K-theoretic analogues) have a rich history in their own right; they exhibit remarkable combinatorial and geometric properties and have connections to many other areas of algebraic combinatorics and algebraic geometry. The author suggests 