{\renewcommand{\section}[2]{}%
\begin{thebibliography}{}

\bibitem[AKKN1]{AKKN1} A.~Alekseev, N.~Kawazumi, Y.~Kuno, and F.~Naef,
  {\em The Goldman-Turaev Lie Bialgebra in Genus Zero and the Kashiwara-Vergne Problem,}
  Adv.\ Math.\ {\bf 326} (2018) 1--53, \arXiv{1703.05813}.

\bibitem[AKKN2]{AKKN2} A.~Alekseev, N.~Kawazumi, Y.~Kuno, and F.~Naef,
  {\em Goldman-Turaev formality implies Kashiwara-Vergne,}
  Quant.\ Topol.\ {\bf 11-4} (2020) 657-–689, \arXiv{1812.01159}.

\bibitem[BN1]{SolvApp} D.~Bar-Natan,
  {\em What else can you do with solvable approximations?}
  talk given at the McGill University HEP seminar, Fabruary 2017. Video and more at \url{http://drorbn.net/mg17}.

\bibitem[BN2]{DoPeGDO} D.~Bar-Natan,
  {\em Everything around $sl_{2+}^\epsilon$ is DoPeGDO. So what?}
  talk given at the Quantum Topology and Hyperbolic Geometry Conference, Da Nang, Vietnam, May 2019. Video and more at \url{http://drorbn.net/v19}.

\bibitem[BN3]{PDS} D.~Bar-Natan,
  {\em Tangles in a Pole Dance Studio: A Reading of Massuyeau, Alekseev, and Naef,}
  talk given at the in Les Diablerets, September 2022. Video and more at \url{http://drorbn.net/ld22}.

\bibitem[BN4]{PQ} D.~Bar-Natan,
  {\em Shifted Partial Quadratics, their Pushforwards, and Signature Invariants for Tangles,}
  talk given at ICERM, May 2023. Video and more at \url{http://drorbn.net/icerm23}.

\bibitem[BN5]{IType} D.~Bar-Natan,
  {\em Knot Invariants from Finite Dimensional Integration,}
  talk given at the International Congress of Basic Science, Beijing, July 2024. Video and more at \url{http://drorbn.net/icbs24}.

\bibitem[BD1]{WKO1} D.~Bar-Natan and Z.~Dancso,
  {\em Finite Type Invariants of W-Knotted Objects I: W-Knots and the Alexander Polynomial,}
  Alg.\ and Geom.\ Top.\ {\bf 16-2} (2016) 1063--1133, \arXiv{1405.1956}.

\bibitem[BD2]{WKO2} D.~Bar-Natan and Z.~Dancso,
  {\em Finite Type Invariants of W-Knotted Objects II: Tangles and the Kashiwara-Vergne Problem,}
  Math.\ Ann.\ {\bf 367} (2017) 1517--1586, \arXiv{1405.1955}.

\bibitem[BG]{MMR} D.~Bar-Natan and S.~Garoufalidis,
  {\em On the Melvin-Morton-Rozansky conjecture,}
  Invent.\ Math.\ {\bf 125} (1996) 103--133.
  
\bibitem[BK]{EmergentAssociator} D.~Bar-Natan and Y.~Kuno,
  {\em Emergent Version of Drinfeld's Associator Equations,}
  in preparation.

\bibitem[BV1]{PP1} D.~Bar-Natan and R.~van~der~Veen,
  {\em A Polynomial Time Knot Polynomial,}
  Proc.\ Amer.\ Math.\ Soc.\ {\bf 147} (2019) 377--397, \arXiv{1708.04853}.

\bibitem[BV2]{PG} D.~Bar-Natan and R.~van~der~Veen,
  {\em Perturbed Gaussian Generating Functions for Universal Knot Invariants,}
  \arXiv{2109.02057}.

\bibitem[BV3]{APAI} D.~Bar-Natan and R.~van der Veen,
  {\em A Perturbed-Alexander Invariant,}
  Quantum Topology {\bf 15} (2024) 449--472, \web{APAI}, and \arXiv{2206.12298}.

\bibitem[DHOEBL]{DHOEBL:Random} N.~Dunfield, A.~Hirani, M.~Obeidin, A.~Ehrenberg,
  S.~Bhattacharyya, D.~Lei, and others,
  {\em Random Knots: A Preliminary Report,} lecture notes at \web{DHOEBL}. Also a
  data file at \web{DD}.

\bibitem[GK]{GaroufalidisKashaev:Multivariable}  S.~Garoufalidis and R.~Kashaev,
  {\em Multivariable Knot Polynomials from Braided Hopf Algebras with Automorphisms,}
  \arXiv{2311.11528}.

\bibitem[GL]{GaroufalidisLi:Patterns} S.~Garoufalidis and S.~Y.~Li,
  {\em Patterns of the $V_2$-polynomial of knots,}
  \arXiv{2409.03557}.

\bibitem[GR]{GaroufalidisRozansky:LoopExpansion} S.~Garoufalidis and L.~Rozansky,
  {\em The Loop Expansion of the Kontsevich Integral, the Null-Move, and $S$-Equivalence,}
  \arXiv{math.GT/0003187}.

\bibitem[GST]{GompfScharlemannThompson:Counterexample} R.~E.~Gompf,
  M.~Scharlemann, and A.~Thompson,
  {\em Fibered Knots and Potential Counterexamples to the Property 2R and
    Slice-Ribbon Conjectures,}
  Geom.\ and Top.\ {\bf 14} (2010) 2305--2347, \arXiv{1103.1601}.

\bibitem[Kas]{Kashaev:SymmetricMatrices} R.~Kashaev,
  {\em On Symmetric Matrices Associated with Oriented Link Diagrams,}
  in {\em Topology and Geometry, A Collection of Essays Dedicated to Vladimir G.~Turaev,} EMS Press 2021,
  \arXiv{1801.04632}.

\bibitem[Kau]{Kauffman:OnKnots} L.~H.~Kauffman,
  {\em On knots,}
  Princeton Univ.\ Press, Princeton, 1987.

\bibitem[Kr]{Kricker:Lines} A.~Kricker,
  {\em The Lines of the Kontsevich Integral and Rozansky's Rationality Conjecture,}
  \arXiv{math/0005284}.

\bibitem[Li]{Liu:ProofOfKashaev} J.~Liu,
  {\em A Proof of the Kashaev Signature Conjecture,}
  \arXiv{2311.01923}.

\bibitem[Mu]{Muller:KnotTheory} D.~Muller,
  {The Insane Math of Knot Theory,}
  Veritasium Channel, YouTube, \url{https://www.youtube.com/watch?v=8DBhTXM_Br4} (retrieved 2024/9/17).

\bibitem[Oh]{Ohtsuki:TwoLoop} T.~Ohtsuki,
  {\em On the 2–loop Polynomial of Knots,}
  Geom.\ Top.\ {\bf 11} (2007) 1357--1475.

\bibitem[Ro1]{Ro} L.~Rozansky,
  {\em A Contribution of the Trivial Flat Connection to the Jones
  Polynomial and Witten's Invariant of 3D Manifolds, I,}
  Comm.\ Math.\ Phys.\ {\bf 175-2} (1996) 275--296, \arXiv{hep-th/9401061}.

\bibitem[Ro2]{Rozansky:Burau} L.~Rozansky,
  {\em The Universal $R$-Matrix, Burau Representation and the Melvin-Morton
    Expansion of the Colored Jones Polynomial,}
  Adv.\ Math.\ {\bf 134-1} (1998) 1--31, \arXiv{q-alg/9604005}.

\bibitem[Ro3]{Rozansky:U1RCC} L.~Rozansky,
  {\em A Universal $U(1)$-RCC Invariant of Links and Rationality Conjecture,}
  \arXiv{math/0201139}.

\bibitem[Wo]{Wolfram:Mathematica}
  {\em Wolfram Language \& System Documentation Center,}
  \url{https://reference.wolfram.com/language/}.

\end{thebibliography}}