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\bibitem[Al]{Alexander:TopologicalInvariants} J.~W.~Alexander,
  {\em Topological invariants of knots and\newline links,}
  Trans.\ Amer.\ Math.\ Soc.\ {\bf 30} (1928) 275--306.

\bibitem[BN1]{Tennessee-1103} D.~Bar-Natan,
  {\em Cosmic Coincidences and Several Other Stories,}
  talk given in Tennessee, March 2011. Handout and video: \web{Ten}.

\bibitem[BN2]{Vienna-1402} D.~Bar-Natan,
  {\em A Partial Reduction of BF Theory to Combinatorics,}
  talk given in Vienna, February 2014. Handout and video: \web{Vie}.

\bibitem[BN3]{DPG} D.~Bar-Natan,
  {\em Everything around $sl_{2+}^\epsilon$ is DoPeGDO. So what?,}
  talk given in ``Quantum Topology and Hyperbolic Geometry Conference'',
  Da Nang, Vietnam, May 2019. Handout and video at \web{DPG}.

\bibitem[BN4]{AKT} D.~Bar-Natan,
  {\em Algebraic Knot Theory,}
  talk given in Sydney, September 2019. Handout and video at \web{AKT}.

\bibitem[BN5]{Bonn-2505} D.~Bar-Natan,
  {\em Knot Invariants from Zero-Dimensional QFT,}
  talk given in Bonn, May 2025. Handout and video: \web{Bonn}.

\bibitem[BD]{WKO1} D.~Bar-Natan and Z.~Dancso,
  \href
    {http://drorbn.net/AcademicPensieve/Projects/WKO1}
    {{\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[BV1]{APAI} D.~Bar-Natan and R.~van der Veen,
  {\em A Perturbed-Alexander Invariant,}
  Quantum Topology {\bf 15} (2024) 449--472, \arXiv{2206.12298}.

\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]{Theta} D.~Bar-Natan and R.~van der Veen,
  {\em A Fast, Strong, Topologically Meaningful, and Fun Knot Invariant,}
  \web{Theta} and \arXiv{2509.18456}.

\bibitem[CR]{CattaneoRossi:WilsonSurfaces} A.~S.~Cattaneo and C.~A.~Rossi,
  {\em Wilson Surfaces and Higher Dimensional Knot Invariants,}
  Comm.\ Math.\ Phys.\ {\bf 256} (2005) 513--537, \arXiv{math-ph/0210037}.

\bibitem[CF]{CrowellFox:KnotTheory} R.~H.~Crowell and R.~H.~Fox,
  {\em Introduction to Knot Theory,}
  Springer-Verlag GTM {\bf 57} (1963).

\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[En]{Enriquez:Quantization} B.~Enriquez,
  {\em A Cohomological Construction of Quantization Functors of Lie
    Bialgebras,}
  Adv.\ in Math.\ {\bf 197-2} (2005) 430–-479,
  \arXiv{math/0212325}.

\bibitem[EK1]{EtingofKazhdan:BialgebrasI} P.~Etingof and D.~Kazhdan,
  {\em Quantization of Lie Bialgebras, I,}
  Sel.\ Math., NS {\bf 2} (1996) 1--41, \arXiv{q-alg/9506005}.

\bibitem[EK2]{EtingofKazhdan:BialgebrasII} P.~Etingof and D.~Kazhdan,
  {\em Quantization of Lie bialgebras, II,}
  Sel.\ Math., NS {\bf 4} (1998) 213--231, \arXiv{q-alg/9701038}.

\bibitem[FM]{FoxMilnor:CobordismOfKnots} R.~H.~Fox and J.~W.~Milnor,
  {\em Singularities of 2-Spheres in 4-Space and Cobordism of Knots,}
  Osaka J.\ Math.\ {\bf 3-2} (1966) 257--267.

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

\bibitem[GKr]{GaroufalidisKricker:RationalNoncommutative} S.~Garoufalidis and A.~Kricker,
  {\em A Rational Noncommutative Invariant of Boundary Links,}
  Geom.\ \& Top.\ {\bf 8} (2004) 115--204, \arXiv{math/0105028}.

\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[GT]{GaroufalidisTeichner:TrivialAlexander} S.~Garoufalidis and P.~Teichner,
  {\em On Knots with Trivial Alexander Polynomial,}
  J.\ Diff.\ Geom.\ {\bf 67} (2004) 165--191, \arXiv{math/0206023}.

\bibitem[HKS]{HabiroKanenobuShima:R2K} K.~Habiro, T.~Kanenobu, and
    A.~Shima,
  {\em Finite Type Invariants of Ribbon 2-Knots,}
  in {\em Low Dimensional Topology}, (H. Nencka, ed.) Cont.\ Math.\
  {\bf 233} (1999) 187--196.

\bibitem[HS]{HabiroShima:R2KII} K.~Habiro and A.~Shima,
  {\em Finite Type Invariants of Ribbon 2-Knots, II,}
  Topology Appl.\ {\bf 111-3} (2001) 265--287.

\bibitem[Kau]{Kauffman:RotationalVirtualKnots} L.~H.~Kauffman,
  {\em Rotational Virtual Knots and Quantum Link Invariants,}
  J.\ of Knot Theory and its Ramifications {\bf 24-13} (2015),
  \arXiv{1509.00578}.

\bibitem[Kaw]{Kawauchi:Srvery} A.~Kawauchi,
  {\em A Survey of Knot Theory,}
  Birkhauser Verlag, 1996.

\bibitem[KY]{KojimaYamasaki:NewInvariants} S.~Kojima and M.~Yamasaki,
  {\em Some New Invariants of Links,}
  Invent.\ Math.\ {\bf 54} (1979) 213--228.

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

\bibitem[La]{Lawrence:UniversalUsingQG} R.~J.~Lawrence,
  {\em Universal Link Invariants using Quantum Groups,}
  Proc.\ XVII Int.\ Conf.\ on Diff.\ Geom.\ Methods in Theor.\ Phys., Chester,
  England, August 1988. World Scientific (1989) 55--63.

\bibitem[Le1]{Lescop:Equivariant} C.~Lescop,
  {\em Knot Invariants Derived from the Equivariant Linking Pairing,}
  AMS/IP Stud.\ in Adv.\ Math.\ {\bf 50} (2011) 217--242, \arXiv{1001.4474}.

\bibitem[Le2]{Lescop:GraphConfigurations} C.~Lescop,
  {\em Invariants of Links and 3-Manifolds from Graph Configurations,}
  EMS Monographs, 2024, \arXiv{2001.09929}.

\bibitem[Oh1]{Ohtsuki:QuantumInvariants} T.~Ohtsuki,
  {\em Quantum Invariants,}
  Series on Knots and Everything {\bf 29}, World Scientific 2002.

\bibitem[Oh2]{Ohtsuki:TwoLoop} T.~Ohtsuki,
  {\em On the 2-Loop Polynomial of Knots,}
  Geometry \& Topology {\bf 11} (2007) 1357--1475.

\bibitem[Oh3]{Ohtsuki:EquivariantLinkingMatrices} T.~Ohtsuki,
  {\em Invariants of Knots Derived from Equivariant Linking Matrices of
    their Surgery Presentations,}
  Int.\ J.\ Math.\ {\bf 20-7} (2009) 883-913.

\bibitem[Ov]{Overbay:Thesis} A.~Overbay,
  {\em Perturbative Expansion of the Colored Jones Polynomial,}
  Ph.D.\ thesis, University of North Carolina, August 2013, \web{Ov}.

\bibitem[Po]{Polyak:ArrowDiagrams} M.~Polyak,
  \href{http://www.springerlink.com/content/p32716130747l815/}{{\em
    On the Algebra of Arrow Diagrams,}}
  Let.\ Math.\ Phys.\ {\bf 51} (2000) 275--291.

\bibitem[Ro1]{Rozansky:Contribution} 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:RationalStructure} L.~Rozansky,
  {\em A Rational Structure of Generating Functions for Vassiliev Invariants,}
  Yale University preprint, July 1999.

\bibitem[Ro4]{Rozansky:U1RCC} L.~Rozansky,
  {\em A Universal $U(1)$-RCC Invariant of Links and Rationality Conjecture,}
  \arXiv{math/0201139}.

\bibitem[Se]{Severa:BialgebrasRevisited} P.~\v{S}evera,
  {\em Quantization of Lie Bialgebras Revisited,}
  Sel.\ Math., NS, to appear, \arXiv{1401.6164}.

\bibitem[Th]{Thurston:IntegralExpressions} D.~Thurston,
  {\em Integral expressions for the Vassiliev knot invariants,}
  Harvard University senior thesis, April 1995, \arXiv{math.QA/9901110}.

}
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