Geometry of configurations in tangent groups
Faculty / School
Faculty of Computer Sciences (FCS)
Department of Mathematical Sciences
Was this content written or created while at IBA?
This article relates the Grassmannian complexes of geometric configurations to the tangent to the Bloch-Suslin complex and to the tangent to Goncharov’s motivic complex. By means of morphisms, we bring the geometry of configurations in tangent groups, TB2 (F) and TB3 (F) that produce commutative diagrams. To show the commutativity of diagrams, we use combinatorial techniques that include permutations in symmetric group S6 . We also create analogues of the Siegel’s cross-ratio identity for the truncated polynomial ring F[ε]ν.
HJRS - X Category, Scopus, Web of Science - Science Citation Index Expanded (SCI)
Journal Quality Ranking
Impact Factor: 1.427
Siddiqui, R. (2020). Geometry of configurations in tangent groups. AIMS Mathematics, 5 (1), 522-545. Retrieved from https://ir.iba.edu.pk/faculty-research-articles/165