Grassmannian Complex and Second Order Tangent Complex

Abstract

First order tangent complex is studied by Siddiqui in [11].There he has introduced morphisms for the first order tangent complexand connected this complex to the famous Grassmannian complex. In thispaper we will extend the discussion of tangent complex for the second order. To do this we will introduce second order tangent group, denoted byTB22(F), and form a tangent complex of order 2. Then we will write morphisms in order to connect this complex with the famous Grassmannian complex.