44 citations · 148 across the 11 of their papers we have counts for
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Hopf algebras of multiple polylogarithms, and holomorphic 1-forms
Zachary Greenberg, Dani Kaufman, Haoran Li +1
We associate to a multiple polylogarithm a holomorphic 1-form on the universal abelian cover of its domain. We relate the 1-forms to the symbol and variation matrix and show that t…
The Lie coalgebra of multiple polylogarithms
Zachary Greenberg, Dani Kaufman, Haoran Li +1
We use Goncharov's coproduct of multiple polylogarithms to define a Lie coalgebra over an arbitrary field. It is generated by symbols subject to inductively defined relations, whic…
Holomorphic polylogarithms and Bloch complexes
Christian K. Zickert
For an integer n>2 we define a polylogarithm, which is a holomorphic function on the universal abelian cover of C-{0,1} defined modulo (2 pi i)^n/(n-1)!. We use the formal properti…
The extended Bloch group and algebraic K-theory
Christian K. Zickert
We define an extended Bloch group for an arbitrary field F, and show that this group is canonically isomorphic to K_3^ind(F) if F is a number field. This gives an explicit descript…