V. Dolgushev

activity

20102024

most citedA Version of the Goldman-Millson Theorem for Filtered L-infinity Algebras

9 citations · 31 across the 14 of their papers we have counts for

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math.AT2021

The Action of GT-Shadows on Child's Drawings

Vasily A. Dolgushev

GT-shadows are tantalizing objects that can be thought of as approximations of elements of the mysterious Grothendieck-Teichmueller group $GT$ introduced by V. Drinfeld i…

math.AT2020★ 2 cited

What are GT-shadows?

Vasily A. Dolgushev, Khanh Q. Le, Aidan A. Lorenz

Let $B_{4}$ (resp. $P B_{4}$ ) be the braid group (resp. the pure braid group) on 4 strands and $N F I_{P B_{4}} (B_{4})$ be the poset whose objects are finite index normal subgroups of $B_{4}$ th…

math.AT2014★ 9 cited

A Version of the Goldman-Millson Theorem for Filtered L-infinity Algebras

Vasily A. Dolgushev, Christopher L. Rogers

In this paper we consider $L_{\infty}$ -algebras equipped with complete descending filtrations. We prove that, under some mild conditions, an $L_{\infty}$ quasi-isomorphism $U: L \t…