Geometry of configurations in tangent groups

Author Affiliation

Raziuddin Siddiqui is Assistant Professor of Mathematical Sciences at Institute of Business Administration (IBA), Karachi

Faculty / School

Faculty of Computer Sciences (FCS)

Department

Department of Mathematical Sciences

Was this content written or created while at IBA?

Yes

Document Type

Article

Source Publication

AIMS Mathematics

ISSN

2473-6988

Disciplines

Mathematics

Abstract

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.

Indexing Information

HJRS - X Category, Scopus, Web of Science - Science Citation Index Expanded (SCI)

Journal Quality Ranking

Impact Factor: 1.427

Publication Status

Published

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