We provide a description of the sheaves of Kähler differentials of the arc space and jet schemes of an arbitrary scheme where these sheaves are computed directly from the sheaf of differentials of the given scheme. Several applications on the structure of arc spaces are presented.
"Differentials on the arc space." Duke Math. J. 169 (2) 353 - 396, 1 February 2020. https://doi.org/10.1215/00127094-2019-0043