Strong ${\mathbb{A}}^1$-invariance of ${\mathbb{A}}^1$-connected components of reductive algebraic groups

Chetan Balwe, Amit Hogadi, Anand Sawant

We show that the sheaf of ${\mathbb{A}}^1$-connected components of a reductive algebraic group over a perfect field is strongly ${\mathbb{A}}^1$-invariant. As a consequence, torsors unde…