Quiver structures of knot invariants, open strings, and recursion (Pietro Longhi, Uppsala University)

15.03.2024 10:30

Generating series of HOMFLYPT polynomials colored by symmetric representations have been found to coincide with partition functions of motivic Donldson-Thomas invariants of symmetric quivers, after a suitable identification of variables. I will discuss an interpretation of this relation based on string theory, where quivers encode interactions of M2 branes mediated by an M5 brane.
Invariance of this picture under deformations leads to a generalization of the knots-quivers correspondence corroborated by wall-crossing type phenomena associated with skein relations among M2 brane boundaries. A generalization to skein valued curve counts, corresponding to counts of M2 on a stack with multiple M5 branes, will be discussed. Based on joint works with Ekholm and Kucharski and ongoing work with Ekholm and Nakamura.

Lieu

Bâtiment: Conseil Général 7-9

Room 1-05, Séminaire "Physical Mathematics Seminar"

entrée libre