Mathematics – Quantum Algebra
Scientific paper
2010-10-05
Mathematics
Quantum Algebra
7 pages
Scientific paper
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.
Bar-Natan Dror
Dancso Zsuzsanna
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