Maps in Tangent Complex of Order Three

Abstract

Previously we have extended the notion of tangent complex of first order to second order and proposed various morphisms in order to connect the tangent complex to well known Grassmannian complex. Now we are motivated to find similar constructions and maps for order greater than 2. Therefore in this paper we present the maps and other ingredients for the tangent complex of order three in dialogarithmic settings. This work will play a key role in the generalization of these constructions.