320 citations · 1.7k across the 30 of their papers we have counts for
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The ADO Invariants are a q-Holonomic Family
Jennifer Brown, Tudor Dimofte, Stavros Garoufalidis +1
We investigate the -holonomic properties of a class of link invariants based on quantum group representations with vanishing quantum dimensions, motivated by the search for the…
Quantum modularity and complex Chern-Simons theory
Tudor Dimofte, Stavros Garoufalidis
The Quantum Modularity Conjecture of Zagier predicts the existence of a formal power series with arithmetically interesting coefficients that appears in the asymptotics of the Kash…
A Spectral Perspective on Neumann-Zagier
Tudor Dimofte, Roland van der Veen
We provide a new topological interpretation of the symplectic properties of gluing equations for triangulations of hyperbolic 3-manifolds, first discovered by Neumann and Zagier. W…
The quantum content of the gluing equations
Tudor D. Dimofte, Stavros Garoufalidis
The gluing equations of a cusped hyperbolic 3-manifold are a system of polynomial equations in the shapes of an ideal triangulation $\calT$ of that describe the complete hy…
Quantum Field Theory and the Volume Conjecture
Tudor Dimofte, Sergei Gukov
The volume conjecture states that for a hyperbolic knot K in the three-sphere S^3 the asymptotic growth of the colored Jones polynomial of K is governed by the hyperbolic volume of…