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- W1539096904 abstract "In this paper we consider the Grassmannian complex of projective configurations in weight 2 and 3, and Cathelineau's infinitesimal polylogarithmic complexes. Our main result is a morphism of complexes between the Grassmannian complex and the associated infinitesimal polylogarithmic complex. In order to establish this connection we introduce an $F$-vector space $beta^D_2(F)$, which is an intermediate structure between a $varmathbb{Z}$-module $mathcal{B}_2(F)$ (scissors congruence group for $F$) and Cathelineau's $F$-vector space $beta_2(F)$ which is an infinitesimal version of it. The structure of $beta^D_2(F)$ is also infinitesimal but it has the advantage of satisfying similar functional equations as the group $mathcal{B}_2(F)$. We put this in a complex to form a variant of Cathelineau's infinitesimal complex for weight 2." @default.
- W1539096904 created "2016-06-24" @default.
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- W1539096904 date "2012-05-17" @default.
- W1539096904 modified "2023-09-27" @default.
- W1539096904 title "Configuration complexes and a variant of Cathelineau's complex in weight 3" @default.
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