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math.GT2026
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…
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…