On the monodromy of higher logarithms

Ramakrishnan, Dinakar

doi:10.1090/S0002-9939-1982-0660611-4

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ISSN 1088-6826(online) ISSN 0002-9939(print)

On the monodromy of higher logarithms

Author: Dinakar Ramakrishnan
Journal: Proc. Amer. Math. Soc. 85 (1982), 596-599
MSC: Primary 53C30; Secondary 14D05, 22E40, 33A10
MathSciNet review: 660611
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Abstract: The (multivalued) higher logarithms are interpreted, by studying their monodromy, as giving well-defined maps from ${\mathbf{P}}_{\mathbf{C}}^1 - \left\{ {3\;{\text{points}}} \right\}$ into certain complex nilmanifolds with ${{\mathbf{C}}^ * }$ -actions.

[1] A. A. Beĭlinson, Higher regulators and values of 𝐿-functions of curves, Funktsional. Anal. i Prilozhen. 14 (1980), no. 2, 46–47 (Russian). MR 575206 (81k:14020)
[2] Spencer Bloch, Lectures on algebraic cycles, Duke University Mathematics Series, IV, Duke University Mathematics Department, Durham, N.C., 1980. MR 558224 (82e:14012)
[3] Spencer Bloch, The dilogarithm and extensions of Lie algebras, Algebraic 𝐾-theory, Evanston 1980 (Proc. Conf., Northwestern Univ., Evanston, Ill., 1980), Lecture Notes in Math., vol. 854, Springer, Berlin, 1981, pp. 1–23. MR 618298 (83b:17010)
[4] Leonard Lewin, Polylogarithms and associated functions, North-Holland Publishing Co., New York, 1981. With a foreword by A. J. Van der Poorten. MR 618278 (83b:33019)
[5] W. Thurston, Geometry and topology of -manifolds, Chapter 7 by J. W. Milnor, Lecture notes, Princeton University.