Multiple polylogarithms and mixed Tate motives

Abstract

We develop the theory of multiple polylogarithms from analytic, Hodge and motivic point of view. Define the category of mixed Tate motives over a ring of integers in a number field. Describe explicitly the multiple polylogarithm Hopf algebra.

82 pages, LATEX, exposition slightly improved, misprints corrected. No major changes

References in corpus (1)

• Operads and Motives in Deformation Quantization

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