Volume 20, issue 6 (2020)

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

Volume 24
Issue 6, 2971–3570
Issue 5, 2389–2970
Issue 4, 1809–2387
Issue 3, 1225–1808
Issue 2, 595–1223
Issue 1, 1–594

Volume 23, 9 issues

Volume 22, 8 issues

Volume 21, 7 issues

Volume 20, 7 issues

Volume 19, 7 issues

Volume 18, 7 issues

Volume 17, 6 issues

Volume 16, 6 issues

Volume 15, 6 issues

Volume 14, 6 issues

Volume 13, 6 issues

Volume 12, 4 issues

Volume 11, 5 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 4 issues

Volume 7, 4 issues

Volume 6, 5 issues

Volume 5, 4 issues

Volume 4, 2 issues

Volume 3, 2 issues

Volume 2, 2 issues

Volume 1, 2 issues

The Journal
About the Journal
Editorial Board
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1472-2739 (online)
ISSN 1472-2747 (print)
Author Index
To Appear
 
Other MSP Journals
Finite rigid sets in arc complexes

Emily Shinkle

Algebraic & Geometric Topology 20 (2020) 3127–3145
DOI: 10.2140/agt.2020.20.3127
Bibliography
1 J Aramayona, Simplicial embeddings between pants graphs, Geom. Dedicata 144 (2010) 115 MR2580421
2 J Aramayona, T Koberda, H Parlier, Injective maps between flip graphs, Ann. Inst. Fourier (Grenoble) 65 (2015) 2037 MR3449205
3 J Aramayona, C J Leininger, Finite rigid sets in curve complexes, J. Topol. Anal. 5 (2013) 183 MR3062946
4 J Aramayona, C J Leininger, Exhausting curve complexes by finite rigid sets, Pacific J. Math. 282 (2016) 257 MR3478935
5 F Atalan, M Korkmaz, Automorphisms of curve complexes on nonorientable surfaces, Groups Geom. Dyn. 8 (2014) 39 MR3209702
6 M C Bell, V Disarlo, R Tang, Cubical geometry in the polygonalisation complex, Math. Proc. Cambridge Philos. Soc. 167 (2019) 1 MR3968817
7 T E Brendle, D Margalit, Normal subgroups of mapping class groups and the metaconjecture of Ivanov, J. Amer. Math. Soc. 32 (2019) 1009 MR4013739
8 V Disarlo, Combinatorial rigidity of arc complexes, preprint (2015) arXiv:1505.08080
9 J L Harer, The virtual cohomological dimension of the mapping class group of an orientable surface, Invent. Math. 84 (1986) 157 MR830043
10 A Hatcher, Algebraic topology, Cambridge Univ. Press (2002) MR1867354
11 J Hernández Hernández, Edge-preserving maps of curve graphs, Topology Appl. 246 (2018) 83 MR3834842
12 J Hernández Hernández, C J Leininger, R Maungchang, Finite rigid subgraphs of pants graphs, preprint (2019) arXiv:1907.12734
13 S Ilbira, M Korkmaz, Finite rigid sets in curve complexes of nonorientable surfaces, Geom. Dedicata 206 (2020) 83 MR4091539
14 E Irmak, Complexes of nonseparating curves and mapping class groups, Michigan Math. J. 54 (2006) 81 MR2214789
15 E Irmak, Injective simplicial maps of the complex of arcs on nonorientable surfaces, Algebr. Geom. Topol. 9 (2009) 2055 MR2551662
16 E Irmak, Superinjective simplicial maps of the complexes of curves on nonorientable surfaces, Turkish J. Math. 36 (2012) 407 MR2993573
17 E Irmak, On simplicial maps of the complexes of curves of nonorientable surfaces, Algebr. Geom. Topol. 14 (2014) 1153 MR3180830
18 E Irmak, Exhausting curve complexes by finite rigid sets on nonorientable surfaces, preprint (2019) arXiv:1906.09913
19 E Irmak, Exhausting curve complexes by finite superrigid sets on nonorientable surfaces, preprint (2019) arXiv:1903.04926
20 E Irmak, M Korkmaz, Automorphisms of the Hatcher–Thurston complex, Israel J. Math. 162 (2007) 183 MR2365859
21 E Irmak, J D McCarthy, Injective simplicial maps of the arc complex, Turkish J. Math. 34 (2010) 339 MR2681579
22 E Irmak, L Paris, Superinjective simplicial maps of the two-sided curve complexes on nonorientable surfaces, Fund. Math. 249 (2020) 211 MR4078215
23 N V Ivanov, Automorphisms of complexes of curves and of Teichmüller spaces, Int. Math. Res. Not. 1997 (1997) 651 MR1460387
24 N V Ivanov, Fifteen problems about the mapping class groups, from: "Problems on mapping class groups and related topics" (editor B Farb), Proc. Sympos. Pure Math. 74, Amer. Math. Soc. (2006) 71 MR2264532
25 M Korkmaz, Automorphisms of complexes of curves on punctured spheres and on punctured tori, Topology Appl. 95 (1999) 85 MR1696431
26 M Korkmaz, A Papadopoulos, On the arc and curve complex of a surface, Math. Proc. Cambridge Philos. Soc. 148 (2010) 473 MR2609303
27 M Korkmaz, A Papadopoulos, On the ideal triangulation graph of a punctured surface, Ann. Inst. Fourier (Grenoble) 62 (2012) 1367 MR3025746
28 F Luo, Automorphisms of the complex of curves, Topology 39 (2000) 283 MR1722024
29 D Margalit, Automorphisms of the pants complex, Duke Math. J. 121 (2004) 457 MR2040283
30 R Maungchang, Exhausting pants graphs of punctured spheres by finite rigid sets, J. Knot Theory Ramifications 26 (2017) MR3735406
31 R Maungchang, Finite rigid subgraphs of the pants graphs of punctured spheres, Topology Appl. 237 (2018) 37 MR3760775
32 J D McCarthy, A Papadopoulos, Simplicial actions of mapping class groups, from: "Handbook of Teichmüller theory, III" (editor A Papadopoulos), IRMA Lect. Math. Theor. Phys. 17, Eur. Math. Soc. (2012) 297 MR2952767
33 A McLeay, Geometric normal subgroups in mapping class groups of punctured surfaces, New York J. Math. 25 (2019) 839 MR4012570
34 L Mosher, Tiling the projective foliation space of a punctured surface, Trans. Amer. Math. Soc. 306 (1988) 1 MR927683
35 P Schmutz Schaller, Mapping class groups of hyperbolic surfaces and automorphism groups of graphs, Compos. Math. 122 (2000) 243 MR1781329
36 K J Shackleton, Combinatorial rigidity in curve complexes and mapping class groups, Pacific J. Math. 230 (2007) 217 MR2318453