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Corpus ID: 238634319

$\mathbb{A}^1$-connectivity of moduli of vector bundles on a curve

@inproceedings{Hogadi2021mathbbA1connectivityOM,
title={\$\mathbb\{A\}^1\$-connectivity of moduli of vector bundles on a curve},
author={Amit Hogadi and Suraj Yadav},
year={2021}
}

In this note we prove that the moduli stack of vector bundles on a curve, with a fixed determinant is A-connected. We obtain this result by classifying vector bundles on a curve upto A-concordance. Consequently we classify Pnbundles on a curve upto A-weak equivalence, extending a result in [2] of Asok-Morel. We also give an explicit example of a variety which is A-h-cobordant to a projective bundle over P but does not have the structure of a projective bundle over P, thus answering a question… Expand

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