The framework of spectral networks was introduced in physics as a way to compute BPS states of 4d N=2 gauge theories. In this talk I will review a generalization, known as exponential networks, which produces enumerative invariants associated to special Lagrangians in certain Calabi-Yau threefolds. Applications include the computation of the exact spectrum for (the mirror of) a local Hirzebruch surface. I will also sketch an alternative derivation of this framework, which elucidates the geometric meaning of the invariants in terms of elementary data of A-branes.
- Organizer: Center for Kvantematematik
- Address: Campusvej 55, 5230 Odense M
- Contact Email: birch@imada.sdu.dk
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