Instruct: Identify the main and secondary category of Arxiv papers based on the titles and abstracts
Query: $\mathbb{A}^1$-connectivity of moduli of vector bundles on a curve   In this note we prove that the moduli stack of vector bundles on a curve,
with a fixed determinant is $\mathbb{A}^1$-connected. We obtain this result by
classifying vector bundles on a curve upto $\mathbb{A}^1$-concordance.
Consequently we classify$\mathbb{P}^n$- bundles on a curve upto
$\mathbb{A}^1$-weak equivalence, extending a result of Asok-Morel. We also give
an explicit example of a variety which is $\mathbb{A}^1$-h-cobordant to a
projective bundle over $\mathbb{P}^2$ but does not have the structure of a
projective bundle over $\mathbb{P}^2$, thus answering a question of
Asok-Kebekus-Wendt

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The categories of this paper are: hep-th
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The categories of this paper are: nucl-ex
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The categories of this paper are: atom-ph
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The categories of this paper are: q-bio
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The categories of this paper are: physics
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The categories of this paper are: stat
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The categories of this paper are: gr-qc
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The categories of this paper are: eess
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The categories of this paper are: econ
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The categories of this paper are: comp-gas
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The categories of this paper are: q-fin
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The categories of this paper are: nlin
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The categories of this paper are: solv-int
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The categories of this paper are: acc-phys
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The categories of this paper are: funct-an
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The categories of this paper are: chao-dyn