Turkish Journal of Mathematics
Abstract
In this article, a generalized geometry of Goncharov's complex and the Grassmannian complex will be proposed. First, all new homomorphisms will be defined, and then they will be used extensively to connect the Bloch--Suslin and the Grassmannian complex for weight $n=2$ and then Goncharov's complex with Grassmannian complex for weight $n=3$, up to $n=6$. Lastly, and most importantly, generalized morphisms will be presented to cover the geometry of the Goncharov and Grassmannian complex when weight $n= N$. Associated diagrams will be exhibited, proven to be commutative.
DOI
10.3906/mat-1702-25
Keywords
Classical polylogarithms, Grassmannian, chain complexes, generalization
First Page
1509
Last Page
1527
Recommended Citation
KHALID, M, KHAN, J, & IQBAL, A (2018). Generalized geometry of Goncharov and configuration complexes. Turkish Journal of Mathematics 42 (3): 1509-1527. https://doi.org/10.3906/mat-1702-25
