On a conjecture of Morel

Utsav Choudhury

arxiv: 1209.0484 · v1 · pith:URDLGO47new · submitted 2012-09-03 · 🧮 math.AG · math.KT

On a conjecture of Morel

Utsav Choudhury This is my paper

classification 🧮 math.AG math.KT

keywords mathbbmathcalcomponentconjectureconnectedgroupinvariantmorel

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In this note we prove that the $\mathbb{A}^1$-connected component sheaf $a_{Nis}(\pi_0^{\mathbb{A}^1}(\mathcal{X}))$ of an $H$-group $\mathcal{X}$ is $\mathbb{A}^1$-invariant.

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On a conjecture of Morel

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