A1-CONNECTEDNESS OF MODULI OF VECTOR BUNDLES ON A CURVE

dc.contributor.author	HOGADI, AMIT	en_US
dc.contributor.author	Yadav, Suraj	en_US
dc.date.accessioned	2024-02-12T11:50:11Z
dc.date.available	2024-02-12T11:50:11Z
dc.date.issued	2023-03	en_US
dc.identifier.citation	Journal of the Institute of Mathematics of Jussieu, 23(03).	en_US
dc.identifier.issn	1474-7480	en_US
dc.identifier.issn	1475-3030	en_US
dc.identifier.uri	https://doi.org/10.1017/S1474748023000087	en_US
dc.identifier.uri	http://dr.iiserpune.ac.in:8080/xmlui/handle/123456789/8503
dc.description.abstract	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].	en_US
dc.language.iso	en	en_US
dc.publisher	Cambridge University Press	en_US
dc.subject	𝔸1-connectedness	en_US
dc.subject	Moduli of vector bundles	en_US
dc.subject	𝔸1-concordance	en_US
dc.subject	2023	en_US
dc.title	A1-CONNECTEDNESS OF MODULI OF VECTOR BUNDLES ON A CURVE	en_US
dc.type	Article	en_US
dc.contributor.department	Dept. of Mathematics	en_US
dc.identifier.sourcetitle	Journal of the Institute of Mathematics of Jussieu	en_US
dc.publication.originofpublisher	Foreign	en_US