3 papers
hep-th2026
Worldsheet skeins and block decomposition of quivers
Sachin Chauhan, Piotr Kucharski, Lukas Nakamura +4
Following the knot-quiver correspondence, we investigate quiver counterparts of the HOMFLYPT skein relations by interpreting link invariants in terms of holomorphic worldsheets and…
math.SG2024
The worldsheet skein D-module and basic curves on Lagrangian fillings of the Hopf link conormal
Tobias Ekholm, Pietro Longhi, Lukas Nakamura
HOMFLYPT polynomials of knots in the 3-sphere in symmetric representations satisfy recursion relations. Their geometric origin is holomorphic curves at infinity on knot conormals t…
math.QA2024
Recursion relations and BPS-expansions in the HOMFLY-PT skein of the solid torus
Lukas Nakamura
Inspired by the skein valued open Gromov-Witten theory of Ekholm and Shende and the Gopakumar-Vafa formula, we associate to each pair of non-negative integers a formal powe…