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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
Bibliography
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(), 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() 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