Exponential Networks for Linear Partitions

Raphael Senghaas (Heidelberg University)

Exponential Networks, introduced by Eager-Selmani-Walcher, are a geometric tool to study special Lagrangian submanifolds in local mirror symmetry. In this seminar talk I focus on the example of BPS states framed by a non-compact D4-brane in the toric threefold C^3. The moduli space of bound states is isomorphic to the Hilbert scheme of points on C^2. We exhibit an explicit correspondence between torus fixed points in the moduli space, linear Partitions and anomaly free exponential networks attached to the quadractically framed mirror curve of C^3.