Hogadi, Amit and Yadav, Suraj (2023) A¹-CONNECTEDNESS OF MODULI OF VECTOR BUNDLES ON A CURVE. JOURNAL OF THE INSTITUTE OF MATHEMATICS OF JUSSIEU: PII S14747. ISSN 1474-7480, 1475-3030
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In this note, we prove that the moduli stack of vector bundles on a curve with a fixed determinant is A(1)-connected. We obtain this result by classifying vector bundles on a curve up to A(1) concordance. Consequently, we classify P-n-bundles on a curve up to A(1)-weak equivalence, extending a result in [3] of Asok-Morel. We also give an explicit example of a variety which is A(1)-h-cobordant to a projective bundle over P-2 but does not have the structure of a projective bundle over P-2, thus answering a question of Asok-Kebekus-Wendt [2].
| Item Type: | Article |
|---|---|
| Uncontrolled Keywords: | A(1)-HOMOTOPY; A(1)-connectedness; Moduli of vector bundles; A(1)-concordance |
| Subjects: | 500 Science > 510 Mathematics |
| Divisions: | Mathematics |
| Depositing User: | Dr. Gernot Deinzer |
| Date Deposited: | 20 Mar 2024 05:34 |
| Last Modified: | 20 Mar 2024 05:34 |
| URI: | https://pred.uni-regensburg.de/id/eprint/60083 |
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