On the monodromy of higher logarithms
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- by Dinakar Ramakrishnan
- Proc. Amer. Math. Soc. 85 (1982), 596-599
- DOI: https://doi.org/10.1090/S0002-9939-1982-0660611-4
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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.References
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- 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, 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.
Bibliographic 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