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Volumn 42, Issue 3, 2009, Pages 371-489

Multiple zeta values and periods of moduli spaces M0, n

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EID: 79959936802     PISSN: 00129593     EISSN: None     Source Type: Journal    
DOI: 10.24033/asens.2099     Document Type: Article
Times cited : (317)

References (55)
  • 1
    • 84972497775 scopus 로고
    • Fonctions hyperlogarithmiques et groupes de monodromie unipotents
    • K. AOMOTO, Fonctions hyperlogarithmiques et groupes de monodromie unipotents, J. Fac. Sci. Univ. Tokyo Sect. IA Math. 25 (1978), 149-156.
    • (1978) J. Fac. Sci. Univ. Tokyo Sect. IA Math. , vol.25 , pp. 149-156
    • Aomoto, K.1
  • 2
    • 84972530354 scopus 로고
    • Addition theorem of abel type for hyper-logarithms
    • K. AOMOTO, Addition theorem of Abel type for hyper-logarithms, Nagoya Math. J. 88 (1982), 55-71.
    • (1982) Nagoya Math. J. , vol.88 , pp. 55-71
    • Aomoto, K.1
  • 3
    • 84972559593 scopus 로고
    • Special values of hyperlogarithms and linear difference schemes
    • K. AOMOTO, Special values of hyperlogarithms and linear difference schemes, Illinois J. Math. 34 (1990), 191-216.
    • (1990) Illinois J. Math. , vol.34 , pp. 191-216
    • Aomoto, K.1
  • 4
    • 0001560673 scopus 로고
    • The cohomology ring of the group of dyed braids
    • V. I. ARNOL'D, The cohomology ring of the group of dyed braids, Mat. Zametki 5 (1969), 227-231.
    • (1969) Mat. Zametki , vol.5 , pp. 227-231
    • Arnol'd, V.I.1
  • 5
    • 0038778769 scopus 로고
    • Ao-moto dilogarithms, mixed hodge structures and motivic cohomology of a pair of triangles in the plane
    • Birkhäuser
    • A. A. BEILINSON, A. B. GONCHAROV, V. V. SCHECHTMAN, A. N. VARCHENKO, Ao-moto dilogarithms, mixed Hodge structures and motivic cohomology of a pair of triangles in the plane, in Grothendieck Festschrift, 86, Birkhäuser, 1990, 135-171.
    • (1990) Grothendieck Festschrift , vol.86 , pp. 135-171
    • Beilinson, A.A.1    Goncharov, A.B.2    Schechtman, V.V.3    Varchenko, A.N.4
  • 6
  • 7
    • 1642414609 scopus 로고    scopus 로고
    • Polylogarithmes multiples uniformes en une variable
    • DOI 10.1016/j.crma.2004.02.001, PII S1631073X04000780
    • F. C. S. BROWN, Polylogarithmes multiples uniformes en une variable, C R Math. Acad. Sci. Paris 338 (2004), 527-532. (Pubitemid 38393960)
    • (2004) Comptes Rendus Mathematique , vol.338 , Issue.7 , pp. 527-532
    • Brown, F.C.S.1
  • 10
    • 84966202575 scopus 로고
    • Iterated path integrals
    • K. T. CHEN, Iterated path integrals, Bull. Amer Math. Soc. 83 (1977), 831-879.
    • (1977) Bull. Amer Math. Soc. , vol.83 , pp. 831-879
    • Chen, K.T.1
  • 11
    • 0041644556 scopus 로고
    • Équations différentielles à points singuliers réguliers
    • Springer
    • P. DELIGNE, Équations différentielles à points singuliers réguliers, Lecture Notes in Math., Vol. 163, Springer, 1970.
    • (1970) Lecture Notes in Math. , vol.163
    • Deligne, P.1
  • 12
    • 51649190277 scopus 로고
    • Théorie de Hodge. III
    • P. DELIGNE, Théorie de Hodge. III, Publ. Math. I.H.É.S 44 (1974), 5-77.
    • (1974) Publ. Math. I.H.É.S , vol.44 , pp. 5-77
    • Deligne, P.1
  • 13
    • 0003140463 scopus 로고
    • Le groupe fondamental de la droite projective moins trois points
    • Berkeley, CA Math. Sci. Res. Inst. Publ. Springer
    • P. DELIGNE, Le groupe fondamental de la droite projective moins trois points, in Galois groups over Q (Berkeley, CA, 1987), Math. Sci. Res. Inst. Publ. 16, Springer, 1989, 79-297.
    • (1987) Galois Groups Over Q , vol.16 , pp. 79-297
    • Deligne, P.1
  • 15
    • 0008064315 scopus 로고    scopus 로고
    • Tessellations of moduli spaces and the mosaic operad
    • Baltimore, MD Contemp. Math. Amer. Math. Soc
    • S. L. DEVADOSS, Tessellations of moduli spaces and the mosaic operad, in Homotopy invariant algebraic structures (Baltimore, MD, 1998), Contemp. Math. 239, Amer. Math. Soc, 1999,91-114.
    • (1998) Homotopy Invariant Algebraic Structures , vol.239 , pp. 91-114
    • Devadoss, S.L.1
  • 16
    • 11144299178 scopus 로고    scopus 로고
    • Combinatorial equivalence of real moduli spaces
    • S. L. DEVADOSS, Combinatorial equivalence of real moduli spaces, Notices Amer. Math. Soc. 51 (2004), 620-628.
    • (2004) Notices Amer. Math. Soc. , vol.51 , pp. 620-628
    • Devadoss, S.L.1
  • 17
    • 0041146773 scopus 로고
    • On a certain double integral
    • A. C. DIXON, On a certain double integral, Proc. London Math. Soc. 2 (1905), 8-15.
    • (1905) Proc. London Math. Soc. , vol.2 , pp. 8-15
    • Dixon, A.C.1
  • 18
    • 0001754777 scopus 로고
    • On quasitriangular quasi-hopf algebras and on a group that is closely connected with gal(Q/Q)
    • V. G DRINFEL'D, On quasitriangular quasi-Hopf algebras and on a group that is closely connected with Gal(Q/Q), Leningrad Math. Journal 2 (1991), 829-860.
    • (1991) Leningrad Math. Journal , vol.2 , pp. 829-860
    • Drinfel'd, V.G.1
  • 19
    • 0002204718 scopus 로고
    • Singularités non abordables par la géométrie
    • J. ÉCALLE, Singularités non abordables par la géométrie, Ann. Inst. Fourier (Grenoble) 42 (1992), 73-164.
    • (1992) Ann. Inst. Fourier (Grenoble) , vol.42 , pp. 73-164
    • Écalle, J.1
  • 20
    • 0002747135 scopus 로고
    • The lower central series of a fiber-type arrangement
    • M. FALK, R. RANDELL, The lower central series of a fiber-type arrangement, Invent. Math. 82 (1985), 77-88.
    • (1985) Invent. Math. , vol.82 , pp. 77-88
    • Falk, M.1    Randell, R.2
  • 21
    • 85009837008 scopus 로고    scopus 로고
    • Groupes de Rhin-Viola et intégrales multiples
    • S. FISCHLER, Groupes de Rhin-Viola et intégrales multiples, J. Théor Nombres Bordeaux 15 (2003), 479-534.
    • (2003) J. Théor Nombres Bordeaux , vol.15 , pp. 479-534
    • Fischler, S.1
  • 22
    • 0000218480 scopus 로고
    • Operads and moduli spaces of genus O riemann surfaces
    • Texel Island Progr. Math. Birkhäuser
    • E. GETZLER, Operads and moduli spaces of genus O Riemann surfaces, in The moduli space of curves (Texel Island, 1994), Progr. Math. 129, Birkhäuser, 1995, 199-230.
    • (1994) The Moduli Space of Curves , vol.129 , pp. 199-230
    • Getzler, E.1
  • 24
    • 11144303976 scopus 로고    scopus 로고
    • Multiple ζ-values, galois groups, and geometry of modular varieties
    • Barcelona Progr. Math. 201, Birkhäuser
    • A. B. GONCHAROV, Multiple ζ-values, Galois groups, and geometry of modular varieties, in European Congress of Mathematics, Vol. I (Barcelona, 2000), Progr. Math. 201, Birkhäuser, 2001, 361-392.
    • (2000) European Congress of Mathematics , vol.1 , pp. 361-392
    • Goncharov, A.B.1
  • 28
    • 84862082098 scopus 로고    scopus 로고
    • Série de Drinfel'd, monodromie et algèbres de Hecke, Thèse de doctorat
    • J. GONZALEZ-LORCA, Série de Drinfel'd, monodromie et algèbres de Hecke, Thèse de doctorat, ÉcoleNormale Supérieure, 1998.
    • (1998) École Normale Supérieure
    • Gonzalez-Lorca, J.1
  • 29
    • 0001982312 scopus 로고
    • Recent developments in hodge theory: A discussion of techniques and results
    • Internat. Colloq., Bombay Oxford Univ. Press
    • P. GRIFFITHS, W. SCHMID, Recent developments in Hodge theory: a discussion of techniques and results, in Discrete subgroups of Lie groups and applicatons to moduli (Internat. Colloq., Bombay, 1973), Oxford Univ. Press, 1975, 31-127.
    • (1973) Discrete Subgroups of Lie Groups and Applicatons to Moduli , pp. 31-127
    • Griffiths, P.1    Schmid, W.2
  • 30
    • 51649175498 scopus 로고
    • On the de rham cohomology of algebraic varieties
    • A. GROTHENDIECK, On the de Rham cohomology of algebraic varieties, Publ. Math. I.H.É.S 29 (1966), 95-103.
    • (1966) Publ. Math. I.H.É.S , vol.29 , pp. 95-103
    • Grothendieck, A.1
  • 31
    • 0001842717 scopus 로고
    • The geometry of the mixed hodge structure on the fundamental group
    • Bowdoin (Brunswick, Maine, 1985), Proc. Sympos. Pure Math. Amer. Math. Soc
    • R. M. HAIN, The geometry of the mixed Hodge structure on the fundamental group, in Algebraic geometry, Bowdoin, 1985 (Brunswick, Maine, 1985), Proc. Sympos. Pure Math. 46, Amer. Math. Soc, 1987, 247-282.
    • (1985) Algebraic Geometry , vol.46 , pp. 247-282
    • Hain, R.M.1
  • 32
    • 0002982143 scopus 로고
    • Classical polylogarithms
    • Seattle, WA Proc. Sympos. Pure Math. Amer. Math. Soc
    • R. M. HAIN, Classical polylogarithms, in Motives (Seattle, WA, 1991), Proc. Sympos. Pure Math. 55, Amer. Math. Soc, 1994, 3-42.
    • (1991) Motives , vol.55 , pp. 3-42
    • Hain, R.M.1
  • 35
    • 0346111796 scopus 로고    scopus 로고
    • Quasi-shuffle products
    • M. E. HOFFMAN, Quasi-shuffle products, J. Algebraic Combin. 11 (2000), 49-68.
    • (2000) J. Algebraic Combin. , vol.11 , pp. 49-68
    • Hoffman, M.E.1
  • 36
    • 38249001864 scopus 로고
    • The permutoassociahedron, mac lane's coherence theorem and asymptotic zones for the KZ equation
    • M. M. KAPRANOV, The permutoassociahedron, Mac Lane's coherence theorem and asymptotic zones for the KZ equation, J. Pure Appl. Algebra 85 (1993), 119-142.
    • (1993) J. Pure Appl. Algebra , vol.85 , pp. 119-142
    • Kapranov, M.M.1
  • 37
    • 33744774508 scopus 로고
    • Current algebra and wess-zumino model in two dimensions
    • V. G KNIZHNIK, A. B. ZAMOLODCHIKOV, Current algebra and Wess-Zumino model in two dimensions, Nuclear Phys B 247 (1984), 83-103.
    • (1984) Nuclear Phys B , vol.247 , pp. 83-103
    • Knizhnik, V.G.1    Zamolodchikov, A.B.2
  • 38
    • 0001903371 scopus 로고
    • Série de Poincaré-Koszul associée aux groupes de tresses pures
    • T KOHNO, Série de Poincaré-Koszul associée aux groupes de tresses pures, Invent. Math. 82 (1985), 57-75.
    • (1985) Invent. Math. , vol.82 , pp. 57-75
    • Kohno, T.1
  • 39
    • 0003263342 scopus 로고
    • Differential algebra and algebraic groups
    • Academic Press
    • E. R. KOLCHIN, Differential algebra and algebraic groups, Academic Press, 1973, Pure and Applied Mathematics, Vol. 54.
    • (1973) Pure and Applied Mathematics , vol.54
    • Kolchin, E.R.1
  • 41
    • 0005120596 scopus 로고
    • Lectures on differential galois theory
    • University Lecture Series 7
    • A. R. MAGID, Lectures on differential Galois theory, University Lecture Series 7, Amer. Math. Soc, 1994.
    • (1994) Amer. Math. Soc
    • Magid, A.R.1
  • 43
    • 0003283210 scopus 로고
    • Arrangements of hyperplanes
    • Springer
    • P. ORLIK, H. TERAO, Arrangements of hyperplanes, Grund. Math. Wiss. 300, Springer, 1992.
    • (1992) Grund. Math. Wiss. , vol.300
    • Orlik, P.1    Terao, H.2
  • 44
    • 34250533716 scopus 로고
    • Sur les groupes d'équations linéaires
    • H. POINCARÉ, Sur les groupes d'équations linéaires, Acta Mathematica 4 (1884).
    • (1884) Acta Mathematica , vol.4
    • Poincaré, H.1
  • 45
    • 11144342672 scopus 로고    scopus 로고
    • Doubles mélanges des polylogarithmes multiples aux racines de l'unité
    • G RACINET, Doubles mélanges des polylogarithmes multiples aux racines de l'unité, Publ. Math. Inst. Hautes Études Sci 95(2002), 185-231.
    • (2002) Publ. Math. Inst. Hautes Études Sci , vol.95 , pp. 185-231
    • Racinet, G.1
  • 46
    • 0000762770 scopus 로고
    • A natural ring basis for the shuffle algebra and an application to group schemes
    • D. E. RADFORD, A natural ring basis for the shuffle algebra and an application to group schemes, J. Algebra 58 (1979), 432-454.
    • (1979) J. Algebra , vol.58 , pp. 432-454
    • Radford, D.E.1
  • 47
    • 0040456990 scopus 로고    scopus 로고
    • On a permutation group related to ζ(2)
    • G. RHIN, C. VIOLA, On a permutation group related to ζ(2), Acta Arith. 77 (1996), 23-56.
    • (1996) Acta Arith. , vol.77 , pp. 23-56
    • Rhin, G.1    Viola, C.2
  • 48
    • 84968509262 scopus 로고
    • Homotopy associativity of H-spaces. I
    • J. D. STASHEFF, Homotopy associativity of H-spaces. I, Trans. Amer. Math. Soc. 108 (1963), 275-292.
    • (1963) Trans. Amer. Math. Soc. , vol.108 , pp. 275-292
    • Stasheff, J.D.1
  • 49
    • 0141568943 scopus 로고    scopus 로고
    • Selberg integrals and multiple zeta values
    • DOI 10.1023/A:1016377828316
    • T. TERASOMA, Selberg integrals and multiple zeta values, Compositio Math. 133 (2002), 1-24. (Pubitemid 37132735)
    • (2002) Compositio Mathematica , vol.133 , Issue.1 , pp. 1-24
    • Terasoma, T.1
  • 50
    • 33645411523 scopus 로고    scopus 로고
    • Hodge theory and complex algebraic geometry. II
    • Cambridge University Press
    • C. VOISIN, Hodge theory and complex algebraic geometry. II, Cambridge Studies in Advanced Mathematics 77, Cambridge University Press, 2003.
    • (2003) Cambridge Studies in Advanced Mathematics , vol.77
    • Voisin, C.1
  • 51
    • 85009910356 scopus 로고    scopus 로고
    • Valeurs zêta multiples. Une introduction
    • M. WALDSCHMIDT, Valeurs zêta multiples. Une introduction, J. Théor Nombres Bordeaux 12 (2000), 581-595.
    • (2000) J. Théor Nombres Bordeaux , vol.12 , pp. 581-595
    • Waldschmidt, M.1
  • 52
    • 0003339075 scopus 로고
    • Fuchsian differential equations
    • Friedr. Vieweg & Sohn
    • M. YOSHIDA, Fuchsian differential equations, Aspects of Mathematics, E11, Friedr. Vieweg & Sohn, 1987.
    • (1987) Aspects of Mathematics
    • Yoshida, M.1
  • 53
    • 10844246665 scopus 로고    scopus 로고
    • Multiple polylogarithms: Analytic continuation, monodromy, and variations of mixed hodge structures
    • Tianjin Nankai Tracts Math. World Sci. Publ., River Edge, NJ
    • J. ZHAO, Multiple polylogarithms: analytic continuation, monodromy, and variations of mixed Hodge structures, in Contemporary trends in algebraic geometry and algebraic topology (Tianjin, 2000), Nankai Tracts Math. 5, World Sci. Publ., River Edge, NJ, 2002, 167-193.
    • (2000) Contemporary Trends in Algebraic Geometry and Algebraic Topology , vol.5 , pp. 167-193
    • Zhao, J.1
  • 54
    • 0000736689 scopus 로고    scopus 로고
    • Integrals that can be represented as linear forms of generalized polylogarithms
    • [711-716]
    • S. A. ZLOBIN, Integrals that can be represented as linear forms of generalized polylogarithms, Mat. Zametki [Math. Notes] 71 (2002), 782-787 [711-716].
    • (2002) Mat. Zametki [Math. Notes] , vol.71 , pp. 782-787
    • Zlobin, S.A.1
  • 55
    • 4344700220 scopus 로고    scopus 로고
    • Well-poised hypergeometric transformations of Euler-type multiple integrals
    • DOI 10.1112/S0024610704005472
    • W. ZUDILIN, Well-poised hypergeometric transformations of Euler-type multiple integrals, J. London Math. Soc. 70 (2004), 215-230. (Pubitemid 39129928)
    • (2004) Journal of the London Mathematical Society , vol.70 , Issue.1 , pp. 215-230
    • Zudilin, W.1


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