3 papers
math.GT2026
Perturbed-Alexander Invariants via Quantum Cluster Algebras
Boudewijn Bosch
A perturbative expansion of knot invariants is derived using quantum cluster algebras. By interpreting the -matrix of as a cluster transformation and intr…
math.GT2026
Tensors, Gaussians and the Alexander Polynomial
Boudewijn Bosch
Building on the approach of Bar-Natan and Van der Veen to universal knot invariants using (perturbed) Gaussian functions, we develop a Gaussian model to compute the Alexander polyn…
math.GT2026
The Large-Color Expansion Derived from the Universal Invariant
Boudewijn Bosch
The colored Jones polynomial associated to a knot admits an expansion of knot invariants known as the large-color expansion or Melvin-Morton-Rozansky expansion. We will show how th…