Volume 22, issue 6 (2018)

Download this article
Download this article For screen
For printing
Recent Issues

Volume 27
Issue 7, 2497–2936
Issue 6, 2049–2496
Issue 5, 1657–2048
Issue 4, 1273–1655
Issue 3, 823–1272
Issue 2, 417–821
Issue 1, 1–415

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Interests
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN (electronic): 1364-0380
ISSN (print): 1465-3060
Author Index
To Appear
 
Other MSP Journals
Contractible stability spaces and faithful braid group actions

Yu Qiu and Jon Woolf

Geometry & Topology 22 (2018) 3701–3760
Bibliography
1 T Adachi, Y Mizuno, D Yang, Silting-discrete triangulated categories and contractible stability spaces, preprint (2017) arXiv:1708.08168v1
2 T Aihara, O Iyama, Silting mutation in triangulated categories, J. Lond. Math. Soc. 85 (2012) 633 MR2927802
3 C Amiot, On the structure of triangulated categories with finitely many indecomposables, Bull. Soc. Math. France 135 (2007) 435 MR2430189
4 C Amiot, Cluster categories for algebras of global dimension 2 and quivers with potential, Ann. Inst. Fourier (Grenoble) 59 (2009) 2525 MR2640929
5 M Auslander, Representation theory of Artin algebras, II, Comm. Algebra 1 (1974) 269 MR0349747
6 A Beligiannis, I Reiten, Homological and homotopical aspects of torsion theories, 883, Amer. Math. Soc. (2007) MR2327478
7 A A Beĭlinson, J Bernstein, P Deligne, Faisceaux pervers, from: "Analysis and topology on singular spaces, I", Astérisque 100, Soc. Math. France (1982) 5 MR751966
8 J S Birman, H M Hilden, On isotopies of homeomorphisms of Riemann surfaces, Ann. of Math. 97 (1973) 424 MR0325959
9 G Bobiński, C Geiß, A Skowroński, Classification of discrete derived categories, Cent. Eur. J. Math. 2 (2004) 19 MR2041666
10 A I Bondal, Operations on t-structures and perverse coherent sheaves, Izv. Ross. Akad. Nauk Ser. Mat. 77 (2013) 5 MR3135695
11 C Brav, H Thomas, Braid groups and Kleinian singularities, Math. Ann. 351 (2011) 1005 MR2854121
12 T Bridgeland, Stability conditions on triangulated categories, Ann. of Math. 166 (2007) 317 MR2373143
13 T Bridgeland, Stability conditions on K3 surfaces, Duke Math. J. 141 (2008) 241 MR2376815
14 T Bridgeland, Stability conditions and Kleinian singularities, Int. Math. Res. Not. 2009 (2009) 4142 MR2549952
15 T Bridgeland, Y Qiu, T Sutherland, Stability conditions and the A2 quiver, preprint (2014) arXiv:1406.2566v1
16 T Bridgeland, I Smith, Quadratic differentials as stability conditions, Publ. Math. Inst. Hautes Études Sci. 121 (2015) 155 MR3349833
17 N Broomhead, D Pauksztello, D Ploog, Averaging t-structures and extension closure of aisles, J. Algebra 394 (2013) 51 MR3092711
18 N Broomhead, D Pauksztello, D Ploog, Discrete derived categories, II : The silting pairs CW complex and the stability manifold, J. Lond. Math. Soc. 93 (2016) 273 MR3483114
19 N Broomhead, D Pauksztello, D Ploog, Discrete derived categories, I : Homomorphisms, autoequivalences and t-structures, Math. Z. 285 (2017) 39 MR3598804
20 P Deligne, Les immeubles des groupes de tresses généralisés, Invent. Math. 17 (1972) 273 MR0422673
21 G Dimitrov, F Haiden, L Katzarkov, M Kontsevich, Dynamical systems and categories, from: "The influence of Solomon Lefschetz in geometry and topology" (editors L Katzarkov, E Lupercio, F J Turrubiates), Contemp. Math. 621, Amer. Math. Soc. (2014) 133 MR3289326
22 G Dimitrov, L Katzarkov, Bridgeland stability conditions on the acyclic triangular quiver, Adv. Math. 288 (2016) 825 MR3436400
23 M Furuse, T Mukouyama, D Tamaki, Totally normal cellular stratified spaces and applications to the configuration space of graphs, Topol. Methods Nonlinear Anal. 45 (2015) 169 MR3365011
24 W Geigle, The Krull–Gabriel dimension of the representation theory of a tame hereditary Artin algebra and applications to the structure of exact sequences, Manuscripta Math. 54 (1985) 83 MR808682
25 D Happel, I Reiten, S O Smalø, Tilting in abelian categories and quasitilted algebras, 575, Amer. Math. Soc. (1996) MR1327209
26 A Ikeda, Stability conditions on CY N categories associated to An–quivers and period maps, Math. Ann. 367 (2017) 1 MR3606433
27 A Ishii, K Ueda, H Uehara, Stability conditions on An–singularities, J. Differential Geom. 84 (2010) 87 MR2629510
28 M Kashiwara, P Schapira, Sheaves on manifolds, 292, Springer (1994) MR1299726
29 B Keller, On cluster theory and quantum dilogarithm identities, from: "Representations of algebras and related topics" (editors A Skowroński, K Yamagata), Eur. Math. Soc. (2011) 85 MR2931896
30 B Keller, Cluster algebras and derived categories, from: "Derived categories in algebraic geometry" (editor Y Kawamata), Eur. Math. Soc. (2012) 123 MR3050703
31 B Keller, D Vossieck, Aisles in derived categories, Bull. Soc. Math. Belg. Sér. A 40 (1988) 239 MR976638
32 M Khovanov, P Seidel, Quivers, Floer cohomology, and braid group actions, J. Amer. Math. Soc. 15 (2002) 203 MR1862802
33 A King, Y Qiu, Exchange graphs and Ext quivers, Adv. Math. 285 (2015) 1106 MR3406522
34 D Krammer, A class of Garside groupoid structures on the pure braid group, Trans. Amer. Math. Soc. 360 (2008) 4029 MR2395163
35 H Krause, Report on locally finite triangulated categories, J. K–Theory 9 (2012) 421 MR2955969
36 H Krause, Cohomological length functions, Nagoya Math. J. 223 (2016) 136 MR3572743
37 E Macrì, Stability conditions on curves, Math. Res. Lett. 14 (2007) 657 MR2335991
38 S Okada, Stability manifold of 1, J. Algebraic Geom. 15 (2006) 487 MR2219846
39 B Perron, J P Vannier, Groupe de monodromie géométrique des singularités simples, Math. Ann. 306 (1996) 231 MR1411346
40 Y Qiu, C–sortable words as green mutation sequences, Proc. Lond. Math. Soc. 111 (2015) 1052 MR3477229
41 Y Qiu, Stability conditions and quantum dilogarithm identities for Dynkin quivers, Adv. Math. 269 (2015) 220 MR3281136
42 Y Qiu, Decorated marked surfaces: spherical twists versus braid twists, Math. Ann. 365 (2016) 595 MR3498923
43 D Quillen, Higher algebraic K–theory, I, from: "Algebraic K–theory, I : Higher K–theories" (editor H Bass), Lecture Notes in Math. 341, Springer (1973) 85 MR0338129
44 I Reiten, M Van den Bergh, Noetherian hereditary abelian categories satisfying Serre duality, J. Amer. Math. Soc. 15 (2002) 295 MR1887637
45 P Seidel, R Thomas, Braid group actions on derived categories of coherent sheaves, Duke Math. J. 108 (2001) 37 MR1831820
46 D Stanley, Invariants of t-structures and classification of nullity classes, Adv. Math. 224 (2010) 2662 MR2652219
47 T Sutherland, The modular curve as the space of stability conditions of a CY3 algebra, preprint (2011) arXiv:1111.4184v1
48 R P Thomas, Stability conditions and the braid group, Comm. Anal. Geom. 14 (2006) 135 MR2230573
49 D Vossieck, The algebras with discrete derived category, J. Algebra 243 (2001) 168 MR1851659
50 B Wajnryb, Artin groups and geometric monodromy, Invent. Math. 138 (1999) 563 MR1719815
51 J Woolf, Stability conditions, torsion theories and tilting, J. Lond. Math. Soc. 82 (2010) 663 MR2739061
52 J Woolf, Some metric properties of spaces of stability conditions, Bull. Lond. Math. Soc. 44 (2012) 1274 MR3007660
53 J Xiao, B Zhu, Locally finite triangulated categories, J. Algebra 290 (2005) 473 MR2153264