Tootfinder

Day 10 and a Half – Crossing the Finish Line
My trip could have ended better, but only because we’re all pretty much digital addicts. My last bike ride was nothing but rain — 38 km of pure wetness, and not the kind I would like. The result? My phone decided to end its life. RIP iPhone (2022–2025).
As I rolled into Copenhagen, I passed a laundromat. No hesitation: I went straight in, stripped off my wet clothes, and stuffed everything in a dryer. Flip-flops with socks — maybe a si…

Goldman-Turaev formality from the Kontsevitch integral
Dror Bar-Natan, Zsuzsanna Dancso, Tamara Hogan, Jessica Liu, Nancy Scherich
https://arxiv.org/abs/2509.20983 https://

Goldman-Turaev formality from the Kontsevitch integral
We present a new solution to the formality problem for the framed Goldman--Turaev Lie bialgebra, constructing Goldman-Turaev homomorphic expansions (formality isomorphisms) from the Kontsevich integral. Our proof uses a three dimensional derivation of the Goldman-Turaev Lie biaglebra arising from a low-degree Vassiliev quotient -- the {\em emergent} quotient -- of tangles in a thickened punctured disk, modulo a Conway skein relation. This is in contrast to Massuyeau's 2018 proof using braids. A…

Replaced article(s) found for math.QA. https://arxiv.org/list/math.QA/new
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- Goldman-Turaev formality from the Kontsevitch integral
Dror Bar-Natan, Zsuzsanna Dancso, Tamara Hogan, Jessica Liu, Nancy Scherich