دورية أكاديمية
Contractible stability spaces and faithful braid group actions
| العنوان: | Contractible stability spaces and faithful braid group actions |
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| المؤلفون: | Qiu, Yu, Woolf, Jon |
| بيانات النشر: | MSP |
| سنة النشر: | 2018 |
| المجموعة: | Project Euclid (Cornell University Library) |
| مصطلحات موضوعية: | stability conditions, Calabi–Yau categories, spherical twists, braid groups, 18E30, 20F36, 13F60, 32Q55 |
| الوصف: | We prove that any “finite-type” component of a stability space of a triangulated category is contractible. The motivating example of such a component is the stability space of the Calabi–Yau– [math] category [math] associated to an ADE Dynkin quiver. In addition to showing that this is contractible we prove that the braid group [math] acts freely upon it by spherical twists, in particular that the spherical twist group [math] is isomorphic to [math] . This generalises the result of Brav–Thomas for the [math] case. Other classes of triangulated categories with finite-type components in their stability spaces include locally finite triangulated categories with finite-rank Grothendieck group and discrete derived categories of finite global dimension. |
| نوع الوثيقة: | text |
| وصف الملف: | application/pdf |
| اللغة: | English |
| تدمد: | 1465-3060 1364-0380 |
| العلاقة: | https://projecteuclid.org/euclid.gt/1538186746Test; Geom. Topol. 22, no. 6 (2018), 3701-3760 |
| DOI: | 10.2140/gt.2018.22.3701 |
| الإتاحة: | https://doi.org/10.2140/gt.2018.22.3701Test https://projecteuclid.org/euclid.gt/1538186746Test |
| حقوق: | Copyright 2018 Mathematical Sciences Publishers |
| رقم الانضمام: | edsbas.C37B485A |
| قاعدة البيانات: | BASE |
| تدمد: | 14653060 13640380 |
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| DOI: | 10.2140/gt.2018.22.3701 |