Decompositions of moduli spaces of vector bundles and graph potentials

We propose a conjectural semiorthogonal decomposition for the derived category of moduli space stable rank 2 bundles with fixed determinant odd degree, independently formulated by Narasimhan. discuss some evidence for, and furthermore decompositions additional structure. also two other decompositions. One is this in Grothendieck ring varieties, which relates to various known motivic The critical value candidate mirror Landau-Ginzburg model given graph potentials, turn related under symmetry Munoz's quantum cohomology. This corresponds an orthogonal Fukaya category. will explain how these can be seen as decomposition.