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What are
GT–shadows?
Vasily A Dolgushev, Khanh Q Le and Aidan A Lorenz
Algebraic & Geometric Topology 24 (2024) 2721–2777
1
D Bar-Natan ,
On
associators and the Grothendieck–Teichmüller group, I ,
Selecta Math. 4 (1998) 183 MR1669949
2
D Bar-Natan , Z
Dancso , Pentagon and
hexagon equations following Furusho , Proc. Amer. Math.
Soc. 140 (2012) 1243 MR2869109
3
G V Belyĭ , On
Galois extensions of a maximal cyclotomic field , Izv. Akad.
Nauk SSSR Ser. Mat. 43 (1979) 267 MR0534593
4
V A Dolgushev ,
Documentation for the package GT , software package
documentation (2022)
5
V A Dolgushev ,
A A Lorenz , On the profinite completion of a
groupoid , in preparation
6
V A Dolgushev ,
C L Rogers , Notes on algebraic
operads, graph complexes, and Willwacher’s
construction , from: "Mathematical aspects of
quantization" (editors S Evens, M Gekhtman, B C Hall, X
Liu, C Polini), Contemp. Math. 583, Amer. Math. Soc. (2012) 25
MR3013092
7
V G Drinfeld ,
On
quasitriangular quasi-Hopf algebras and on a group that is
closely connected with Gal ( ℚ ∕ ℚ ) , Algebra i Analiz 2 (1990) 149
MR1080203
8
J S Ellenberg ,
Galois
invariants of dessins d’enfants , from: "Arithmetic
fundamental groups and noncommutative algebra" (editors
M D Fried, Y Ihara), Proc. Sympos. Pure Math. 70, Amer.
Math. Soc. (2002) 27 MR1935404
9
B Fresse , Homotopy of operads and
Grothendieck–Teichmüller groups, I : The algebraic theory and
its topological background , 217, Amer. Math. Soc.
(2017) MR3643404
10
H Furusho , Pentagon and
hexagon equations , Ann. of Math. 171 (2010) 545
MR2630048
11
A Grothendieck ,
Revêtements étales et
groupe fondamental , 224, Springer (1971) MR0354651
12
P Guillot , The
Grothendieck–Teichmüller group of a finite group and
G –dessins d’enfants , from:
"Symmetries in graphs, maps, and polytopes", Springer Proc.
Math. Stat. 159, Springer (2016) 159 MR3516220
13
P Guillot , The
Grothendieck–Teichmüller group of PSL (2 ,q ) , J.
Group Theory 21 (2018) 241 MR3770012
14
D Harbater , L
Schneps , Fundamental
groups of moduli and the Grothendieck–Teichmüller
group , Trans. Amer. Math. Soc. 352 (2000) 3117 MR1615979
15
Y Ihara ,
Braids, Galois groups, and some arithmetic functions ,
from: "Proceedings of the International Congress of
Mathematicians, I" (editor I Satake), Math. Soc. Japan (1991)
99 MR1159208
16
Y Ihara , On the embedding
of Gal ( ℚ ∕ ℚ ) into GT , from: "The Grothendieck
theory of dessins d’enfants" (editor L Schneps), Lond. Math.
Soc. Lect. Note Ser. 200, Cambridge Univ. Press (1994) 289
MR1305402
17
C Kassel , V
Turaev , Braid
groups , 247, Springer (2008) MR2435235
18
P Lochak , L
Schneps , A cohomological
interpretation of the Grothendieck–Teichmüller group ,
Invent. Math. 127 (1997) 571 MR1431139
19
P Lochak , L
Schneps , Open problems in
Grothendieck–Teichmüller theory , from: "Problems on
mapping class groups and related topics" (editor B Farb), Proc.
Sympos. Pure Math. 74, Amer. Math. Soc. (2006) 165 MR2264540
20
J L Loday , B
Vallette , Algebraic
operads , 346, Springer (2012) MR2954392
21
M Markl , S
Shnider , J Stasheff , Operads in algebra, topology
and physics , 96, Amer. Math. Soc. (2002) MR1898414
22
H Nakamura , L
Schneps , On a subgroup of the
Grothendieck–Teichmüller group acting on the tower of profinite
Teichmüller modular groups , Invent. Math. 141 (2000)
503 MR1779619
23
F Pop , Finite tripod
variants of I/OM : on Ihara’s question/Oda–Matsumoto
conjecture , Invent. Math. 216 (2019) 745 MR3955709
24
L Ribes , P
Zalesskii , Profinite
groups , 40, Springer (2000) MR1775104
25
L Schneps , An
introduction to Grothendieck–Teichmüller theory , slides
of lectures (2012)
26
J Stasheff ,
What is ... an operad ? ,
Notices Amer. Math. Soc. 51 (2004) 630 MR2064150
27
T Szamuely ,
Galois
groups and fundamental groups , 117, Cambridge Univ.
Press (2009) MR2548205
28
D E Tamarkin ,
Formality
of chain operad of little discs , Lett. Math. Phys. 66
(2003) 65 MR2064592