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Articles 751 - 751 of 751
Full-Text Articles in Physical Sciences and Mathematics
Generalized Geometry Of Goncharov And Configuration Complexes, Muhammad Khalid, Javed Khan, Azhar Iqbal
Generalized Geometry Of Goncharov And Configuration Complexes, Muhammad Khalid, Javed Khan, Azhar Iqbal
Turkish Journal of Mathematics
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.