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[Math-Phys Seminar] Kunal Gupta (Uppsala University Sweden) : From knots to quivers via exponential networks
10. June @ 11:15 am – 1:00 pm UTC+0
10. Juni 2025
Kunal Gupta (Uppsala University Sweden)
From knots to quivers via exponential networks
Abstract: I will present our proposal for a mirror derivation of the quiver description of open topological strings known as the knots-quivers correspondence, based on enumerative invariants of augmentation curves encoded by exponential networks. Quivers are obtained by studying M2 branes wrapping holomorphic disks with Lagrangian boundary conditions on an M5 brane, through their identification with a distinguished sector of BPS kinky vortices in the 3d-3d dual QFT. Our proposal suggests that holomorphic disks with Lagrangian boundary conditions are mirror to calibrated 1-chains on the associated augmentation curve, whose intersections encode the linking of boundaries. This is based on works arXiv:2407.08445, arXiv:2412.14901 with Pietro Longhi.
https://www.mathematik.hu-berlin.de/de/forschung/forschungsgebiete/mathematische-physik/borot-mp-homepage/math_phys_seminar