On Poly(ana)logs I
Philippe Elbaz-Vincent, Herbert Gangl, Maxim Kontsevich
Abstract
We investigate a connection between the differential of polylogarithms (as considered by Cathelineau) and a finite variant of them. This allows to answer a question raised by Kontsevich concerning the construction of functional equations for the finite analogs, using in part the p-adic version of polylogarithms and recent work of Besser. Kontsevich's original unpublished note is supplied (with his kind permission) in an "Appendix" at the end of the paper.
Create a lesson
Related papers
Gerstenhaber algebra structure on the Hochschild cohomology ring of the Xu--Snashall algebra
Qi Long, Ziyang Shi, Guodong Zhou
K-theory of Matroids and Monoid Schemes
Christian Haesemeyer, Charles A. Weibel
On motivic cohomology of commutative C*-algebras
Ko Aoki
The Nil K-groups of finite groups
Ted Chinburg, Matthew Morrow, Georgios Pappas et al.
The Oka principle for étale Chow groups
Ko Aoki
General linear and Steinberg groups over the Leavitt algebra L F2(1,2)
Huynh Viet Khanh