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Proceedings of the American Mathematical Society

Published by the American Mathematical Society, the Proceedings of the American Mathematical Society (PROC) is devoted to research articles of the highest quality in all areas of pure and applied mathematics.

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

The 2020 MCQ for Proceedings of the American Mathematical Society is 0.85.

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On the monodromy of higher logarithms
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by Dinakar Ramakrishnan PDF
Proc. Amer. Math. Soc. 85 (1982), 596-599 Request permission

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.
References
  • 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
  • Spencer Bloch, Lectures on algebraic cycles, Duke University Mathematics Series, IV, Duke University, Mathematics Department, Durham, N.C., 1980. MR 558224
  • 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-New York, 1981, pp. 1–23. MR 618298, DOI 10.1007/BFb0089515
  • Leonard Lewin, Polylogarithms and associated functions, North-Holland Publishing Co., New York-Amsterdam, 1981. With a foreword by A. J. Van der Poorten. MR 618278
  • W. Thurston, Geometry and topology of $3$-manifolds, Chapter 7 by J. W. Milnor, Lecture notes, Princeton University.
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Additional Information
  • © Copyright 1982 American Mathematical Society
  • Journal: Proc. Amer. Math. Soc. 85 (1982), 596-599
  • MSC: Primary 53C30; Secondary 14D05, 22E40, 33A10
  • DOI: https://doi.org/10.1090/S0002-9939-1982-0660611-4
  • MathSciNet review: 660611