Multiple zeta values and periods of moduli spaces M 0 ,n ( R )

2009
110 pages
Published in:
  • Annales Sci.Ecole Norm.Sup. 42 (2009) 371
e-Print:

Citations per year

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  • [An]
    Une introduction aux m otifs, Panoram as et Syntheses 17, S.M.F.,Paris(2004)
    • Y. Andre
    • [Ao1]
      oto,Fonctionshyperlogarithm es etgroupesde m onodrom ie unipotents,JournalFac.Sci.Tokyo,25 (1978),149-156
      • K.Aom
      • [Ao2]
        oto,Addition theorem ofAbeltype for hyperlogarithm s,Nagoya M ath.Journal,88 (1982),55-71
        • K.Aom
        • [Ao3]
          oto,Specialvaluesofhyperlogarithm sand lineardi erenceschem es, IllinoisJ.M ath.34,no.2 (1990),191-216
          • K.Aom
          • [Ar]
            The cohom ology ring ofthe coloured braid group,M at. Zam etki5 (1969),227-231
            • V.I.Arnold
            • [Ar]
              M ath Notes5 (1969),138-140
              • [B]
                M onodrom ie dessystem esdi erentielslineairesa p^olessim ples sur la sphere de Riem ann,Sem.Bourbaki,(1992-93),no.765
                • A.Beauville
                • [Be]
                  A note on the irrationality of (2) and (3),Bull. London M ath.Soc 11,(1979),268-272
                  • F.Beukers
                  • [BM]
                    M onvel,Polylogarithm es,www.math.jussieu.fr/~boutet
                    • L.Boutetde
                    • [B-S]
                      Corners and arithm etic groups,and appendix: A. D ouady,L.H erault,Arrondissem entdes varietes a coins,Com m entM ath. Helv.48 (1973),436-491
                      • A.Borel
                        ,
                      • J.P.Serre
                      • [Bou]
                        Algebre,Herm ann,Paris
                        • N.Bourbaki
                        • [Bri]
                          Sur les groupes des tresses,in Sem. Bourbaki1971/2,Lecture Notesin M ath.317 -Verlag (1973),21-44
                          • E.Brieskorn
                          • [Br1]
                            Polylogarithm es m ultiples uniform es en une variable,C. R.Acad Sci.Paris,Ser.I338 (2004),527-532
                            • F.C.S.Brown
                            • [Br2]
                              Single-valued hyperlogarithm s and unipotentdi erential equations,preprint
                              • F.C.S.Brown
                              • [Br3]
                                Periodes des espaces des m odules M 0
                                • F.C.S.Brown
                                • [Br3]
                                  n et valeurs z^eta m ultiples,to appearin Sci.Paris,(2006)
                                  • C.R.Acad
                                  • [Ca1]
                                    D eveloppem entsrecentssurlesgroupesdestresses,Sem.Bourbaki,1989-90,No.716
                                    • P.Cartier
                                      • Asterisque 17 (1989) 67
                                  • [Ca2]
                                    Fonctions polylogarithm es,nom bres polyz^etas etgroupes prounipotents,Sem inaire Bourbaki,(2000-01),no.885
                                    • P.Cartier
                                    • [Ch1]
                                      Iterated path integrals,Bull. Am er. M ath. Soc. 83,(1977), 831-879
                                      • K.T.Chen
                                      • [Ch2]
                                        Extension ofC 1 Function Algebra by Integrals and M alcev com pletion of 1,Adv.in M ath.23,no.2 (1977),181-210
                                        • K.T.Chen
                                        • [dC-P]
                                          W onderfulm odels ofsubspace arrangem ents., Sel.M ath.,New Ser.1,3 (1995),459-494. [D e1] P. D eligne, Le groupe fondam ental de la droite projective m oins trois points,in ‘G alois groups over Q ’,Proc. W orkshop,Berkeley/CA (1987), Publ.M ath.Sci.Res.Inst.16 (1989),79-297. [D e2] P. D eligne, Les im m eubles des groupes de tresses generalises, Invent. M ath.17 (1972),273-302. [D e3]P.D eligne,Equations di erentielles a points singuliers reguliers,Lecture Notesin M ath.163 -Verlag (1970). [D e4]P.D eligne,Theorie de Hodge III,PublicationsM athem atiquesdel’IHES, 44 (1974),5-77 [D -M]P.D eligne, D.M um ford, The irreducibility of the space of curves of a given genus,Publ.M ath.IHES 36,(1969),75-109. [D -G]D eligne,P.,G oncharov,A.B.:G roupes fondam entaux m otiviques de Tate m ixte,Ann.Sci.Ecole Norm.Sup.,Ser.IV 38,No.1,(2005),1-56. [D ev1] S. D evadoss, Tesselations of m oduli spaces and the m osaic operad, in Contem p.M ath.239 (1999),91-114. [D ev2]S.D evadoss,Realcom pacti cation ofM odulispaces,NoticesoftheA.M.S 51,No.6 (2004),620-628. [D i]A.C.D ixon,O n a certain double integral,Proc. London M ath. Soc. 2, no.2 (1905),8-15. [D r]V.G.D rinfeld,O n quasitriangularquasi-Hopfalgebrasand on a group that isclosely connected with G al(Q =Q ),Leningrad M ath.Journal2 (1991),No. 4,829-860
                                          • C.De. Concini
                                            ,
                                          • C.Procesi
                                          • [E]
                                            Singularitesnon abordablesparla geom etrie,Ann.Inst.Fourier, G renoble,42,1-2 (1992),73-164
                                            • J.Ecalle
                                            • [F-R]
                                              The lower centralseriesofa ber-type arrangem ent, Invent.M ath.82 (1985),77-88
                                              • M.Falk
                                                ,
                                              • R.Randell
                                              • [Fi1]
                                                Irrationalite de valeurs de z^eta [d’apres Apery, Rivoal,..], Sem inaire Bourbaki2002-2003,Expose 910,Asterisque (2002)
                                                • S. Fischler