3 papers
math.GT2026
fkcompute: an efficient invariant calculator
Paul Orland, Davide Passaro, Lara San Martín Suárez +2
We introduce fkcompute, an open-source package for computing the Gukov--Manolescu invariant of links from a braid presentation. fkcompute implements Park's inverted state sum throu…
math.GT2025
Quantum Invariants and Fiberedness
Paul Orland, Lara San Martín Suárez, Toby Saunders-A'Court +1
We explore the topological significance of the Gukov-Manolescu knot series . We show that the leading coefficient of is a monomial and express its exponent in terms of t…
math.GT2024
Invariants of Plumbed Manifolds
Shimal Harichurn, András Némethi, Josef Svoboda
We study the minimal -exponent in the BPS -series of negative definite plumbed 3-manifolds equipped with a spin-structure. We express of Seife…