All Outputs (2)

Quelques calculs de la cohomologie de GL_N(Z) et de la K-theorie de Z (2002)
Journal Article
Elbaz-Vincent, P., Gangl, H., & Soulé, C. (2002). Quelques calculs de la cohomologie de GL_N(Z) et de la K-theorie de Z. Comptes Rendus Mathématique, 335(4), 321-324. https://doi.org/10.1016/s1631-073x%2802%2902481-0

Voronoi cell decomposition is used to determine most of the structure of the homology of GL_N(Z) for N=5, 6. This determines K_5(Z) and gives that K_6(Z) is a 3-group.

On poly(ana)logs I (2002)
Journal Article
Elbaz-Vincent, P., & Gangl, H. (2002). On poly(ana)logs I. Compositio Mathematica, 130(2), 161-214. https://doi.org/10.1023/a%3A1013757217319

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 fini... Read More about On poly(ana)logs I.