Discrete derived categories II: the silting pairs CW complex and the stability manifold
dc.contributor.author | Broomhead, N | |
dc.contributor.author | Pauksztello, D | |
dc.contributor.author | Ploog, D | |
dc.date.accessioned | 2016-10-28T14:35:01Z | |
dc.date.available | 2016-10-28T14:35:01Z | |
dc.date.issued | 2016 | |
dc.identifier.issn | 0024-6107 | |
dc.identifier.issn | 1469-7750 | |
dc.identifier.other | 0 | |
dc.identifier.uri | http://hdl.handle.net/10026.1/6664 | |
dc.description | 27 pages, 3 figures; second version incorporates many improvements thanks to the anonymous referee; to be published in Journal of the LMS | |
dc.description.abstract |
Discrete derived categories were studied initially by Vossieck ['The algebras with discrete derived category', J. Algebra 243 (2001) 168-176] and later by Bobiński, Geiß and Skowroński ['Classification of discrete derived categories', Cent. Eur. J. Math. 2 (2004) 19-49]. In this article, we define the CW complex of silting pairs for a triangulated category and show that it is contractible in the case of discrete derived categories. We provide an explicit embedding from the silting CW complex into the stability manifold. By work of Qiu and Woolf ['Contractible stability spaces and faithful braid group actions', Preprint, 2014, arXiv:1407.5986], there is a deformation retract of the stability manifold onto the silting pairs CW complex. We obtain that the space of stability conditions of discrete derived categories is contractible. | |
dc.format.extent | 273-300 | |
dc.language | en | |
dc.language.iso | en | |
dc.publisher | London Mathematical Society | |
dc.subject | 4902 Mathematical Physics | |
dc.subject | 4904 Pure Mathematics | |
dc.subject | 49 Mathematical Sciences | |
dc.title | Discrete derived categories II: the silting pairs CW complex and the stability manifold | |
dc.type | journal-article | |
dc.type | article | |
plymouth.author-url | http://arxiv.org/abs/1407.5944v2 | |
plymouth.issue | 2 | |
plymouth.volume | 93 | |
plymouth.publisher-url | http://dx.doi.org/10.1112/jlms/jdv069 | |
plymouth.publication-status | Published | |
plymouth.journal | Journal of the London Mathematical Society | |
dc.identifier.doi | 10.1112/jlms/jdv069 | |
plymouth.organisational-group | /Plymouth | |
plymouth.organisational-group | /Plymouth/Admin Group - REF | |
plymouth.organisational-group | /Plymouth/Admin Group - REF/REF Admin Group - FoSE | |
plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering | |
plymouth.organisational-group | /Plymouth/Faculty of Science and Engineering/School of Engineering, Computing and Mathematics | |
plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA | |
plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA/EXTENDED UoA 10 - Mathematical Sciences | |
plymouth.organisational-group | /Plymouth/REF 2021 Researchers by UoA/UoA10 Mathematical Sciences | |
plymouth.organisational-group | /Plymouth/Users by role | |
plymouth.organisational-group | /Plymouth/Users by role/Academics | |
dcterms.dateAccepted | 2015-03-12 | |
dc.identifier.eissn | 1469-7750 | |
dc.rights.embargoperiod | Not known | |
rioxxterms.versionofrecord | 10.1112/jlms/jdv069 | |
rioxxterms.licenseref.uri | http://www.rioxx.net/licenses/all-rights-reserved | |
rioxxterms.licenseref.startdate | 2016 | |
rioxxterms.type | Journal Article/Review | |
plymouth.oa-location | https://arxiv.org/pdf/1407.5944v2.pdf |