Parabolic vector bundles and Lie algebroid connections

Alfaya Sánchez, David; Biswas, Indranil; Kumar, Pradip; Singh, Anoop

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Campo DC	Valor	Lengua/Idioma
dc.contributor.author	Alfaya Sánchez, David	es-ES
dc.contributor.author	Biswas, Indranil	es-ES
dc.contributor.author	Kumar, Pradip	es-ES
dc.contributor.author	Singh, Anoop	es-ES
dc.date.accessioned	2026-01-23T05:19:02Z	-
dc.date.available	2026-01-23T05:19:02Z	-
dc.date.issued	2025-12-29	es_ES
dc.identifier.issn	0008-414X	es_ES
dc.identifier.uri	https://doi.org/10.4153/S0008414X25101983	es_ES
dc.identifier.uri	http://hdl.handle.net/11531/108332	-
dc.description	Artículos en revistas	es_ES
dc.description.abstract	Given a holomorphic Lie algebroid on an m-pointed connected Riemann surface, we define parabolic Lie algebroid connections on any parabolic vector bundle equipped with parabolic structure over the marked points. An analog of the Atiyah exact sequence for parabolic Lie algebroids is constructed. For any Lie algebroid whose underlying holomorphic vector bundle is stable, we give a complete characterization of all the parabolic vector bundles that admit a parabolic Lie algebroid connection.	es-ES
dc.description.abstract	Given a holomorphic Lie algebroid on an m-pointed connected Riemann surface, we define parabolic Lie algebroid connections on any parabolic vector bundle equipped with parabolic structure over the marked points. An analog of the Atiyah exact sequence for parabolic Lie algebroids is constructed. For any Lie algebroid whose underlying holomorphic vector bundle is stable, we give a complete characterization of all the parabolic vector bundles that admit a parabolic Lie algebroid connection.	en-GB
dc.format.mimetype	application/octet-stream	es_ES
dc.language.iso	en-GB	es_ES
dc.source	Revista: Canadian Journal of Mathematics, Periodo: 1, Volumen: En imprenta, Número: , Página inicial: 0, Página final: 0	es_ES
dc.subject.other	Instituto de Investigación Tecnológica (IIT)	es_ES
dc.title	Parabolic vector bundles and Lie algebroid connections	es_ES
dc.type	info:eu-repo/semantics/article	es_ES
dc.description.version	info:eu-repo/semantics/publishedVersion	es_ES
dc.rights.holder		es_ES
dc.rights.accessRights	info:eu-repo/semantics/openAccess	es_ES
dc.keywords	Parabolic bundle; Lie algebroid connection; Atiyah exact sequence; stable bundle; Fibrado parabólico, conexiones sobre algebroides de Lie, sucesión exacta de Atiyah, fibrado estable.	es-ES
dc.keywords	Parabolic bundle; Lie algebroid connection; Atiyah exact sequence; stable bundle; Fibrado parabólico, conexiones sobre algebroides de Lie, sucesión exacta de Atiyah, fibrado estable.	en-GB
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