Fetching the paper…
Reading the bibliography…
This is a review of the theory of the motivic fundamental group of the projective line minus three points, and its relation to multiple zeta values.
A. Borel: Stable real cohomology of arithmetic groups , Annales Ecole Normale Sup. 7, No. 4, (1974), 235-272
1974
Earlier work this paper cites.
A. Borel: Cohomologie de S L n SL_{n} et valeurs de fonctions zêta aux points entiers , Annali della Scuola Norm. di Pisa, (1976), 613-635, + erratum
1976
Earlier work this paper cites.
G. Shimura: On the periods of modular forms , Math. Annalen 229 (1977), 211-221
1977
Earlier work this paper cites.
Belyi: On Galois Extensions of a Maximal Cyclotomic Field , Math. USSR-Izvestija 14:247-256 (1980)
1980
Earlier work this paper cites.
W. Kohnen, D. Zagier: Modular forms with rational periods , Modular forms (Durham, 1983), 197-249
1983
Earlier work this paper cites.
P. Deligne: Le groupe fondamental de la droite projective moins trois points , Galois groups over Q (Berkeley, CA, 1987), 79-297, Math. Sci. Res. Inst. Publ., 16 (1989)
1989
Earlier work this paper cites.
Y. Ihara: The Galois representation arising from ℙ 1 − { 0 , 1 , ∞ } \mathbb{P}^{1}-\{0,1,\infty\} and Tate twists of even degree , Galois groups over ℚ \mathbb{Q} , 299-313, Math. Sci. Res. Inst. Publ., 16, (1989)
1989
Earlier work this paper cites.
P. Deligne: Catégories Tannakiennes , Grothendieck Festschrift, vol. II, Birkhäuser Progress in Math. 87 (1990), 111-195
1990
Earlier work this paper cites.
V. Drinfeld: On quasi-triangular quasi-Hopf algebras and some group closely related with Gal ( ℚ ¯ / ℚ ) \mathrm{Gal}(\overline{\mathbb{Q}}/\mathbb{Q}) , Algebra i Analiz 2 (1990), no. 4, 149-181
1990
Earlier work this paper cites.
Y. Ihara: Braids, Galois Groups, and Some Arithmetic Functions , Proceedings of the International Congress of Mathematicians, Vol. I, II (Kyoto, 1990), 99-120
1990
Earlier work this paper cites.
M. Levine: Tate motives and the vanishing conjectures for algebraic K-theory , Algebraic K-theory and algebraic topology (Lake Louise, AB, 1991), 167-188
1991
Earlier work this paper cites.
1993
Earlier work this paper cites.
M. E. Hoffman: The Algebra of Multiple Harmonic Series
1997
Cited alongside, same era.
R. Hain: The Hodge de Rham theory of the relative Malcev completion , Ann. Sci. École Norm. Sup. 31 (1998), 47–92
1998
Cited alongside, same era.
A. Goncharov: Multiple polylogarithms and Mixed Tate Motives , arXiv:0103059, (2001)
2001
Cited alongside, same era.
M. Kontsevich, D. Zagier: Periods , Mathematics unlimited-2001 and beyond, 771-808, Springer, Berlin, (2001)
2001
Cited alongside, same era.
P. Cartier: Fonctions polylogarithmes, nombres polyztas et groupes pro-unipotents , Sminaire Bourbaki, Astrisque No. 282 (2002), Exp. No. 885, 137-173
2002
Cited alongside, same era.
G. Racinet: Doubles mélanges des polylogarithmes multiples aux racines de l’unité
H. Gangl, M. Kaneko, D. Zagier: Double zeta values and modular forms
2006
Later among the works it cites.
Y. Manin: Iterated integrals of modular forms and non-commutative modular symbols , Algebraic geometry and number theory, 565-597, Prog. Math. 253 (2006)
2006
Later among the works it cites.
T. Terasoma: Geometry of multiple zeta values , International Congress of Mathematicians. Vol. II, 627-635, (2006)
2006
Later among the works it cites.
P. Deligne: Le groupe fondamental unipotent motivique de G m − μ N \mathrm{G}_{m}-\mu_{N} , pour N = 2 , 3 , 4 , 6 N=2,3,4,6 ou 8 8
2010
Later among the works it cites.
H. Furushou: Four groups related to associators , arXiv:1108.3389 (2011)
2011
Later among the works it cites.
alphaXiv searches the wider corpus for related work and actual follow-ups.
alphaXiv is searching for related work…
2002
Cited alongside, same era.
R. Hain, M. Matsumoto: Weighted completion of Galois groups and Galois actions on the fundamental group of ℙ 1 \ { 0 , 1 , ∞ } \mathbb{P}^{1}\backslash\{0,1,\infty\}
2003
Cited alongside, same era.
Y. André: Une introduction aux motifs , Panoramas et Synthèses 17, SMF (2004)
2004
Cited alongside, same era.
A. Goncharov, Y. Manin: Multiple ζ \zeta -motives and moduli spaces 𝔐 ¯ 0 , n \overline{\mathfrak{M}}_{0,n} , Compos. Math. 140 (2004), no. 1, 1-14
2004
Cited alongside, same era.
P. Deligne, A. B. Goncharov: Groupes fondamentaux motiviques de Tate mixte , Ann. Sci. École Norm. Sup. 38 (2005), 1–56
2005
Cited alongside, same era.
A. B. Goncharov: Galois symmetries of fundamental groupoids and noncommutative geometry
2005
Cited alongside, same era.
Y. Manin: Iterated Shimura integrals , Moscow Math. J. 5 (2005), 869-881
2005
Cited alongside, same era.
F. Brown: Mixed Tate motives over ℤ \mathbb{Z} , Annals of Math., volume 175, no. 1, 949-976 (2012)
2012
Later among the works it cites.
F. Brown: Decomposition of motivic multiple zeta values , ‘Galois-Teichmuller theory and Arithmetic Geometry’, Adv. Stud. Pure Math., 63, (2012)
2012
Later among the works it cites.
P. Deligne: Letter to Brown and Zagier , 28 april 2012
2012
Later among the works it cites.
D. B. Zagier: Evaluation of the multiple zeta values ζ ( 2 , … , 2 , 3 , 2 , … , 2 ) \zeta(2,\dots,2,3,2,\dots,2)
2012
Later among the works it cites.
P. Deligne: Multizêtas , Séminaire Bourbaki, expos 1048, Astrisque 352 (2013)
2013
Later among the works it cites.
Z-H. Li: Some identities in the harmonic algebra concerned with multiple zeta values , Int. J. Number Theory 9 (2013), no. 3, 783- 798
2013
Later among the works it cites.
T. Terasoma: Brown-Zagier relation for associators , arXiv:1301.7474 (2013)
2013
Later among the works it cites.