Quotients of monodromy groupoids

Basit Öğe Kaydı
dc.authorid0000-0002-6552-4695en_US
dc.authorid0000-0001-7411-2871en_US
dc.contributor.authorMucuk, Osman
dc.contributor.authorŞahan, Tunçar
dc.date.accessioned2024-07-12T20:46:46Z
dc.date.available2024-07-12T20:46:46Z
dc.date.issued2019en_US
dc.departmentFakülteler, İnsan ve Toplum Bilimleri Fakültesi, Matematik Bölümüen_US
dc.description.abstractThe main object of this extended abstract is to define the quotient groupoid of the monodromy groupoid for a topological group-groupoid using the categorical assignment between crossed modules and group-groupoids and state some results without in detail. The idea of monoromy principle is that a local morphism f on a topological structure G is extended not only to G itself but also to some simply connected cover of G [12, Theorem 2, Chapter 2]. A version of this result was developed in [13] for Lie groups. The notion of monodromy groupoid was introduced by J. Pradines in a series of the works [27, 28, 29, 30] to generalize a standard construction of a simply connected Lie group from a Lie algebra to a corresponding construction of a Lie groupoid from a Lie algebroid (see also [16, 17, 18, 19, 25, 33]). For more discussions about holonomy and monodromy groupoids we refer the readers to [7] and [8]. Let G be a topological groupoid. The monodromy groupoid denoted by Mon(G) is defined by Mackenzie in [17, p.67-70] as a disjoint union of the universal covers of the stars Gx’s. The topological aspect of the monodromy groupoid was developed in [20] using the holonomy technics of [1] and written in Lie groupoid case including topological groupoids in [9] and [10].en_US
dc.identifier.citationMucuk, O., Şahan, T. (2019). Quotients of monodromy groupoids. International Conference of Mathematical Sciences. s. 030028(1)-030028(4).en_US
dc.identifier.endpage030028-4en_US
dc.identifier.isbn978-0-7354-1816-5
dc.identifier.startpage030028-1en_US
dc.identifier.urihttps://aip.scitation.org/doi/10.1063/1.5095113
dc.identifier.urihttps://hdl.handle.net/20.500.12415/1905
dc.language.isotren_US
dc.publisherMaltepe Üniversitesien_US
dc.relation.ispartofInternational Conference of Mathematical Sciencesen_US
dc.relation.isversionof10.1063/1.5095113en_US
dc.relation.publicationcategoryUluslararası Konferans Öğesi - Başka Kurum Yazarıen_US
dc.rightsCC0 1.0 Universal*
dc.rightsinfo:eu-repo/semantics/openAccessen_US
dc.rights.urihttp://creativecommons.org/publicdomain/zero/1.0/*
dc.snmzKY01365
dc.subjectGroup-groupoiden_US
dc.subjectQuotient groupoiden_US
dc.subjectCrossed module and monodromy groupoiden_US
dc.titleQuotients of monodromy groupoidsen_US
dc.typeArticle
dspace.entity.typePublication

Dosyalar

Koleksiyon

İnsan ve Toplum Bilimleri Fakültesi Koleksiyonu