Infinitesimal presentations of the Torelli groups

Hain, Richard¹

¹ Department of Mathematics, Duke University, Durham, North Carolina 27708-0320

Journal of the American Mathematical Society, Tome 10 (1997) no. 3, pp. 597-651

Détail

DOI : 10.1090/S0894-0347-97-00235-X

Bibliographie

[1] Asada, Mamoru, Kaneko, Masanobu On the automorphism group of some pro-𝑙 fundamental groups 1987 137 159

[2] Asada, Mamoru, Nakamura, Hiroaki On graded quotient modules of mapping class groups of surfaces Israel J. Math. 1995 93 113

[3] Bar-Natan, Dror On the Vassiliev knot invariants Topology 1995 423 472

[4] Baumslag, Gilbert On generalised free products Math. Z. 1962 423 438

[5] Birman, Joan S. Erratum: “Braids, links, and mapping class groups” (Ann. of Math. Studies, No. 82, Princeton Univ. Press, Princeton, N. J., 1974) 1975 1

[6] Bloch, Spencer, Kå™Ã­Å¾, Igor Mixed Tate motives Ann. of Math. (2) 1994 557 605

[7] Borel, Armand Stable real cohomology of arithmetic groups Ann. Sci. École Norm. Sup. (4) 1974

[8] Borel, Armand Stable real cohomology of arithmetic groups. II 1981 21 55

[9] Carlson, James A., Hain, Richard M. Extensions of variations of mixed Hodge structure Astérisque 1989

[10] Cartier, Pierre Construction combinatoire des invariants de Vassiliev-Kontsevich des nœuds C. R. Acad. Sci. Paris Sér. I Math. 1993 1205 1210

[11] Fulton, William, Harris, Joe Representation theory 1991

[12] Hain, Richard M. The de Rham homotopy theory of complex algebraic varieties. I 𝐾-Theory 1987 271 324

[13] Hain, Richard M. Algebraic cycles and extensions of variations of mixed Hodge structure 1991 175 221

[14] Hain, Richard M. Completions of mapping class groups and the cycle 𝐶-𝐶⁻ 1993 75 105

[15] Hain, Richard M. Torelli groups and geometry of moduli spaces of curves 1995 97 143

[16] Cappell, Sylvain E., Shaneson, Julius L. Linking numbers in branched covers 1984 165 179

[17] Johnson, Dennis The structure of the Torelli group. I. A finite set of generators for \cal𝐼 Ann. of Math. (2) 1983 423 442

[18] Johnson, Dennis The structure of the Torelli group. III. The abelianization of 𝒯 Topology 1985 127 144

[19] Johnson, Dennis A survey of the Torelli group 1983 165 179

[20] Kassel, Christian Quantum groups 1995

[21] BçŽDescu, Radu On a problem of Goursat Gaz. Mat. 1939 571 577

[22] Kohno, Toshitake Monodromy representations of braid groups and Yang-Baxter equations Ann. Inst. Fourier (Grenoble) 1987 139 160

[23] Kohno, Toshitake, Oda, Takayuki The lower central series of the pure braid group of an algebraic curve 1987 201 219

[24] Kontsevich, Maxim Vassiliev’s knot invariants 1993 137 150

[25] Labute, John P. On the descending central series of groups with a single defining relation J. Algebra 1970 16 23

[26] Ward, Morgan Ring homomorphisms which are also lattice homomorphisms Amer. J. Math. 1939 783 787

[27] Mess, Geoffrey The Torelli groups for genus 2 and 3 surfaces Topology 1992 775 790

[28] Morgan, John W. The algebraic topology of smooth algebraic varieties Inst. Hautes Études Sci. Publ. Math. 1978 137 204

[29] Morita, Shigeyuki On the structure and the homology of the Torelli group Proc. Japan Acad. Ser. A Math. Sci. 1989 147 150

[30] Morita, Shigeyuki Casson’s invariant for homology 3-spheres and characteristic classes of surface bundles. I Topology 1989 305 323

[31] Morita, Shigeyuki On the structure of the Torelli group and the Casson invariant Topology 1991 603 621

[32] Morita, Shigeyuki The extension of Johnson’s homomorphism from the Torelli group to the mapping class group Invent. Math. 1993 197 224

[33] Morita, Shigeyuki Abelian quotients of subgroups of the mapping class group of surfaces Duke Math. J. 1993 699 726

[34] Nakamura, Hiroaki, Takao, Naotake, Ueno, Ryoichi Some stability properties of Teichmüller modular function fields with pro-𝑙 weight structures Math. Ann. 1995 197 213

[35] Nakayama, Tadasi On Frobeniusean algebras. I Ann. of Math. (2) 1939 611 633

[36] Passman, Donald S. The algebraic structure of group rings 1977

[37] Muta, Masanori, Taniguchi, Yoshiaki, Yamaguti, Kiyosi Semi-direct products of general Lie triple systems J. Fac. Internat. Stud. Cult. Kyushu Sangyo Univ. 1995 91 101

[38] Reutenauer, Christophe Free Lie algebras 1993

[39] Saito, Morihiko Mixed Hodge modules and admissible variations C. R. Acad. Sci. Paris Sér. I Math. 1989 351 356

[40] Serre, Jean-Pierre Lie algebras and Lie groups 1965

[41] Sullivan, Dennis On the intersection ring of compact three manifolds Topology 1975 275 277

[42] Sullivan, Dennis Infinitesimal computations in topology Inst. Hautes Études Sci. Publ. Math. 1977

[43] Zucker, Steven Hodge theory with degenerating coefficients. 𝐿₂ cohomology in the Poincaré metric Ann. of Math. (2) 1979 415 476