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V. G. Drinfel’d, Quasi-Hopf algebras,
1990
Earlier work this paper cites.
V.G. Drinfel’d, On quasitriangular Quasi-Hopf algebras and a group closely connected with
1991
Earlier work this paper cites.

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T. Le, J.Murakami, Representation of the category of Tangles by Kontsevich iterated integrals,
1995
Cited alongside, same era.
D. Bar-Natan, On associators and the Grothendieck-Teichmuller group I,
1998
Cited alongside, same era.
T. Willwacher: M. Kontsevich’s graph complex and the Grothendieck-Teichmueller Lie algebra,
Original
Cited in the paper.

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2010

Bar-Natan, Dror, Dancso, Zsuzsanna

In [F] H.

Furusho proves the beautiful result that of the three defining equations for associators, the pentagon implies the two hexagons (see also [W]).
In this note we present a simpler proof for this theorem (although our paper is less dense, and hence only slightly shorter).
In particular, we package the use of algebraic geometry and Groethendieck-Teichmuller groups into a useful and previously known principle, and, less significantly, we eliminate the use of spherical braids.

V. G. Drinfel’d, Quasi-Hopf algebras,
1990
Earlier work this paper cites.
V.G. Drinfel’d, On quasitriangular Quasi-Hopf algebras and a group closely connected with
1991
Earlier work this paper cites.

T. Le, J.Murakami, Representation of the category of Tangles by Kontsevich iterated integrals,
1995
Cited alongside, same era.
D. Bar-Natan, On associators and the Grothendieck-Teichmuller group I,
1998
Cited alongside, same era.
T. Willwacher: M. Kontsevich’s graph complex and the Grothendieck-Teichmueller Lie algebra,
Original
Cited in the paper.

alphaXiv searches the wider corpus for related work and actual follow-ups.

alphaXiv is searching for related work…