\begin{thebibliography}{BND2}


% [AET] in abstract:
\bibitem[AET]{AlekseevEnriquezTorossian:ExplicitSolutions} A.~Alekseev, 
  B.~Enriquez, and C.~Torossian,
   {\em Drinfeld's associators, braid groups and an explicit solution of 
     the Kashiwara-Vergne equations,}
     Publications Math\'ematiques de L'IH\'ES, {\bf 112-1} (2010) 143--189, 
     \arXiv{0903.4067}.


\bibitem[AKKN1]{AKKN:GoldmanTuraev}
A.~Alekseev, N.~Kazumi, Y.~Kuno, F.~Naef,
{\em The Goldman-Turaev Lie bialgebra in genus zero and the 
Kashiwara--Vergne problem,} \arXiv{1703.05813}.


\bibitem[AKKN2]{AKKN:GTReverse}
A.~Alekseev, N.~Kazumi, Y.~Kuno, F.~Naef,
{\em Goldman-Turaev formality implies 
Kashiwara--Vergne,} Quantum Topology {\bf 11-4} (2020) 657--689.


\bibitem[AM]{AlekseevMeinrenken:KV} A.~Alekseev and
  E.~Meinrenken,
  {\em On the Kashiwara-Vergne conjecture,}
   Inventiones Mathematicae, {\bf 164} (2006) 615--634, \arXiv{0506499}.

\bibitem[AN]{AlekseevNaef:GTKZ}
A.~Alekseev, F.~Naef, {\em Goldman-Turaev formality from the Knizhnik-Zamolodchikov connection}
Comptes Rendus Mathematique {\bf 355-11} (2017) 1138--1147

% [AT] in abstract:
\bibitem[AT]{AlekseevTorossian:KashiwaraVergne} A.~Alekseev and
  C.~Torossian,
  {\em The Kashiwara-Vergne conjecture and Drinfeld's associators,}
   Annals of Mathematics {\bf 175} (2012) 415--463, \arXiv{0802.4300}.     
     
\bibitem[BN1]{Bar-Natan:GT1} D.~Bar-Natan,
  \href{http://www.math.toronto.edu/~drorbn/LOP.html#GT1}{{\em
    On associators and the Grothendieck-Teichmuller Group I,}}
  in {\em Selecta Mathematica,} New Series {\bf 4}, 183--212, June 1996.
  
 \bibitem[BN2]{Bar-Natan:NAT} D.~Bar-Natan,
  \href{http://www.math.toronto.edu/~drorbn/LOP.html#NAT}{{\em
    Non-associative tangles,}}
  in {\em Geometric topology} (proceedings of the Georgia international
  topology conference), (W.~H.~Kazez, ed.), 139--183, Amer.{} Math.{}
  Soc.{} and International Press, Providence, 1997.
  
  
\bibitem[BND1]{Bar-NatanDancso:KTG} D.~Bar-Natan and Z.~Dancso,
  {\em Homomorphic expansions for knotted trivalent graphs},
  Journal of Knot Theory and its Ramifications Vol.\ {\bf 22}, No.\ 1 (2013)
  \arXiv{1103.1896}
  
 
  
\bibitem[BDS]{BDS:Duflo} D.~Bar-Natan, Z.~Dancso and N.~Scherich,
{\em Ribbon 2-Knots, $1+1=2$, and Duflo's Theorem for Arbitrary Lie Algebras, }
Algebraic and Geometric Topology {\bf 20} 7 (2020) 3733--3760  \arXiv{1811.08558}
  
\bibitem[BDV]{BDV:OU}  D.~Bar-Natan, Z.~Dancso and R.~van der Veen,
{\em Over then Under Tangles} To appear in the Special Issue in memory of Vaughan Jones, 
Journal of Knot Theory and its Ramifications. \arXiv{2007.09828}
  
\bibitem[BGRT]{Bar-NatanGaroufalidisRozanskyThurston:WheelsWheeling}
   D.~Bar-Natan, S.~Garoufalidis, L.~Rozansky and D.~P.~Thurston,
   {\em Wheels, wheeling, and the Kontsevich integral of the unknot,}
   Israel Journal of Mathematics {\bf 119} (2000) 217--237,
   \arXiv{q-alg/9703025}.


\bibitem[BLT]{Bar-NatanLeThurston:TwoApplications} D.~Bar-Natan,
  T.~Q.~T.~Le, and D.~P.~Thurston,
  {\em Two applications of elementary knot theory to Lie algebras and
    Vassiliev invariants,}
 Geometry and Topology {\bf 7-1} (2003) 1--31, \arXiv{math.QA/0204311}.

\bibitem[Da]{Dancso:KIforKTG} Z.~Dancso,
  {\em On a Kontsevich Integral for Knotted Trivalent Graphs,}
   Algebraic and Geometric Topology {\bf 10} (2010) 1317--1365,
  \arXiv{0811.4615}.
  
 \bibitem[DHR1]{DHR:CircAlg}
 Z.~Dancso, I.~Halacheva, M.~Robertson
 {\em Circuit Algebras are Wheeled Props}
 Journal of Pure and Applied Algebra {\bf 225-12} (2021)106767
 
 \bibitem[DHR2]{DHR:KVKRV}
 Z.~Dancso, I.~Halacheva, M.~Robertson
 {\em A Topological characterisation of the Kashiwara-Vergne Groups,}
 Transactions of the American Mathematical Society {\bf 376}-5 (2023) 3265--3317
 \arXiv{2106.02373}
 
 \bibitem[DHoR]{DHaR:GRTKRV}
 Z.~Dancso, T.~Hogan, M.~Robertson,
 {\em A diagrammatic description of the Alekseev-Torossian map,}
 \arXiv{2211.11370}.
  
  \bibitem[Dr]{Drinfeld:QuasiHopf} V.~G.~Drinfel'd,
  {\em Quasi-Hopf Algebras,}
  Leningrad Math.{} J.{} {\bf 1} (1990) 1419--1457.
  
  \bibitem[J]{Jones:PlanarAlgebras} V.~F.~R.~Jones,
  {\em Planar Algebras I}  \arXiv{math/9909027}, to appear in {\em New Zeland J.\ Math.}

% [KV] in abstract:
\bibitem[KV]{KashiwaraVergne:Conjecture} M.~Kashiwara and M.~Vergne,
  \href{http://www.springerlink.com/content/v73014gx14084624/}{{\em The
    Campbell-Hausdorff Formula and Invariant Hyperfunctions,}}
  Invent.\ Math.\ {\bf 47} (1978) 249--272.
  
\bibitem[LM]{LeMurakami:Universal} T.~Q.~T.~Le and J.~Murakami,
  {\em The universal Vassiliev-Kontsevich invariant for framed oriented links,}
  Compositio Math.{} {\bf 102} (1996) 41--64, \arXiv{hep-th/9401016}.
  
\bibitem[M]{Massuyeau:GT} Gw\'{e}na\"{e}l Massuyeau {\em Formal descriptions of Turaev's loop 
operations} Quantum Topology {\bf 9-1} (2018) 39--117.
  
\bibitem[T]{Thurston:KTG}D.~P.~Thurston 
{\em The Algebra of Knotted Trivalent Graphs and Turaev's Shadow World}
Invariants of Knots and 3-manifolds (Kyoto 2001),
Geometry Topology Monographs {\bf 4} 337--362, \arXiv{math.GT/0311458}


\bibitem[WKO0]{Bar-NatanDancso:WKO} D.~Bar-Natan and Z.~Dancso,
  {\em Finite Type Invariants of W-Knotted Objects: From Alexander to
    Kashiwara and Vergne},
  paper, videos (wClips) and related files at
  \url{http://www.math.toronto.edu/~drorbn/papers/WKO/}. The
  \arXiv{1309.7155} edition may be older.
  
\bibitem[WKO1]{Bar-NatanDancso:WKO1} D.~Bar-Natan and Z.~Dancso,
{\em Finite Type Invariants of W-Knotted Objects I: W-Knots and the Alexander 
Polynomial}, Alg.\ Geom.\ Topology {\bf 16} (2016) 1063--1133. \arXiv{1405.1956}

\bibitem[WKO2]{Bar-NatanDancso:WKO2} D.~Bar-Natan and Z.~Dancso,
{\em Finite Type Invariants of W-Knotted objects II: Tangles, Foams and the Kashiwara-Vergne Problem}
to appear in Math.\ Annalen, \arXiv{1405.1955} 

\bibitem[WKO3]{DoubleTree} D.~Bar-Natan and Z.~Dancso,
  {\em Finite Type Invariants of w-Knotted Objects III: From Associators to 
  Solutions of the Kashiwara-Vergne problem} (self-reference),
  paper and related files at
  \url{http://www.math.toronto.edu/~drorbn/papers/DoubleTree/}. The
  \arXiv{????.????} edition may be older.
  
\bibitem[WKO4]{Bar-Natan:WKO4} D.~Bar-Natan,
  {\em Finite Type Invariants of w-Knotted Objects IV: Some Computations}
  \arXiv{1511.05624}
\end{thebibliography}
