Infinitesimal and tangent to polylogarithmic complexes for higher weight
Faculty / School
Faculty of Computer Sciences (FCS)
Department of Mathematical Sciences
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Motivic and polylogarithmic complexes have deep connections with K-theory. This article gives morphisms (different from Goncharov’s generalized maps) between k-vector spaces of Cathelineau’s infinitesimal complex for weight n. Our morphisms guarantee that the sequence of infinitesimal polylogs is a complex. We are also introducing a variant of Cathelineau’s complex with the derivation map for higher weight n and suggesting the definition of tangent group TBn(k). These tangent groups develop the tangent to Goncharov’s complex for weight n.
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Siddiqui, R. (2019). Infinitesimal and tangent to polylogarithmic complexes for higher weight. AIMS Mathematics, 4 (4), 1248-1257. Retrieved from https://ir.iba.edu.pk/faculty-research-articles/168