Discrete derived categories II: The silting pairs CW complex and the stability manifold

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Autoren

  • Nathan Broomhead
  • David Pauksztello
  • David Ploog

Organisationseinheiten

Externe Organisationen

  • Universität Bielefeld
  • University of Manchester
Forschungs-netzwerk anzeigen

Details

OriginalspracheEnglisch
Seiten (von - bis)273-300
Seitenumfang28
FachzeitschriftJournal of the London Mathematical Society
Jahrgang93
Ausgabenummer2
Frühes Online-Datum28 Jan. 2016
PublikationsstatusVeröffentlicht - 1 Apr. 2016

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.

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Discrete derived categories II: The silting pairs CW complex and the stability manifold. / Broomhead, Nathan; Pauksztello, David; Ploog, David.
in: Journal of the London Mathematical Society, Jahrgang 93, Nr. 2, 01.04.2016, S. 273-300.

Publikation: Beitrag in Fachzeitschrift › Artikel › Forschung › Peer-Review

Broomhead N, Pauksztello D, Ploog D. Discrete derived categories II: The silting pairs CW complex and the stability manifold. Journal of the London Mathematical Society. 2016 Apr 1;93(2):273-300. Epub 2016 Jan 28. doi: 10.48550/arXiv.1407.5944, 10.1112/jlms/jdv069
Broomhead, Nathan ; Pauksztello, David ; Ploog, David. / Discrete derived categories II : The silting pairs CW complex and the stability manifold. in: Journal of the London Mathematical Society. 2016 ; Jahrgang 93, Nr. 2. S. 273-300.
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AU - Ploog, David

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