  Identification of string junction states of pure SU(2) Seiberg-Witten theory
as B-branes wrapped on a Calabi-Yau manifold in the geometric engineering limit
is discussed. The wrapped branes are known to correspond to objects in the
bounded derived category of coherent sheaves on the projective line $\cp{1}$ in
this limit. We identify the pronged strings with triangles in the underlying
triangulated category using Pi-stability. The spiral strings in the weak
coupling region are interpreted as certain projective resolutions of the
invertible sheaves. We discuss transitions between the spiral strings and
junctions using the grade introduced for Pi-stability through the central
charges of the corresponding objects.
