Natural transformations of the composition of Weil and cotangent functors
Volume 77 / 2001
Annales Polonici Mathematici 77 (2001), 105-117
MSC: 58A32, 58A20.
DOI: 10.4064/ap77-2-1
Abstract
We study geometrical properties of natural transformations $T^AT^*\to T^*T^A$ depending on a linear function defined on the Weil algebra $A$. We show that for many particular cases of $A$, all natural transformations $T^AT^*\to T^*T^A$ can be described in a uniform way by means of a simple geometrical construction.