4 papers
Quantum Invariants indexed by Fibered Faces of the Thurston Polytope
Davide Passaro, Lara San Martín Suárez
We study the Gukov--Manolescu quantum invariant for oriented links. While this invariant is a single series in the knot case, we find that links admit multiple such series, each on…
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…
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…
A large color -matrix for
Angus Gruen, Lara San Martín Suárez
We construct the invariant for any positive braid knot , whose existence was conjectured by Park, building on earlier work…