Simplicial embeddings between pants graphs

Geometriae Dedicata

Volumn 144, Issue 1, 2010, Pages 115-128

  Aramayona, Javier ^a  

^a NATIONAL UNIVERSITY OF IRELAND   (Ireland)

Author keywords

Injective simplicial map; Pants graph

Indexed keywords

EID: 74849087450     PISSN: 00465755     EISSN: 15729168     Source Type: Journal    
DOI: 10.1007/s10711-009-9391-0     Document Type: Article

References (26)

1. Aramayona, J., Leininger, C. J., Souto, J.: Injections of mapping class groups of closed surfaces. Geom. Topol. (to appear).
2. Behrstock J., Margalit D.: Curve complexes and finite index subgroups of mapping class groups. Geom. Dedicata 118(1), 71-85 (2006).
3. Bell R., Margalit D.: Braid groups and the co-Hopfian property. J. Algebra 303, 275-294 (2006).
4. Birman J., Lubotzky A., McCarthy J.: Abelian and solvable subgroups of the mapping class groups. Duke Math. J. 50(4), 1107-1120 (1983).
5. Brock J. F.: The Weil-Petersson metric and volumes of 3-dimensional hyperbolic convex cores. J. Am. Math. Soc. 16, 495-535 (2003).
6. Brock J. F., Margalit D.: Weil-Petersson isometries via the pants graph. Proc. Am. Math. Soc. 135(3), 795-803 (2007).
7. Harer J.: The virtual cohomological dimension of the mapping class group of an orientable surface. Invent. Math. 84(1), 157-176 (1986).
8. Hatcher A., Lochak P., Schneps L.: On the Teichmüller tower of mapping class groups. J. reine angew. Math. 521, 1-24 (2000).
9. Hatcher A. E., Thurston W. P.: A presentation for the mapping class group of a closed orientable surface. Topology 19, 221-237 (1980).
10. Irmak E.: Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups. Topology 43(3), 513-541 (2004).
11. Irmak E.: Superinjective simplicial maps of complexes of curves and injective homomorphisms of subgroups of mapping class groups II. Topol. Appl. 153, 1309-1340 (2006).
12. Irmak E.: Complexes of nonseparating curves and mapping class groups. Mich. Math. J. 54, 81-110 (2006).
13. Irmak E., Korkmaz M.: Automorphisms of the Hatcher-Thurston complex. Isr. J. Math. 162, 183-196 (2007).
14. Irmak, E., McCarthy, J. D.: Injective simplicial maps of the arc complex", (with McCarthy J. D.). Preprint, arXiv: math/0606612.
15. Ivanov N. V.: Automorphism of complexes of curves and of Teichmüller spaces. Intern. Math. Res. Not. 14, 651-666 (1997).
16. Ivanov N. V., McCarthy J. D.: On injective homomorphisms between Teichmüller modular groups I. Invent. Math. 135, 425-486 (1999).
17. Korkmaz M.: Automorphisms of complexes of curves on punctured spheres and on punctured tori. Topol. Appl. 95(2), 85-111 (1999).
18. Luo F.: Automorphisms of the complex of curves. Topology 39(2), 283-298 (2000).
19. Margalit D.: Automorphisms of the pants complex. Duke Math. J. 121(3), 457-479 (2004).
20. Masur H., Wolf M.: The Weil-Petersson isometry group. Geom. Dedicata 93, 177-190 (2002).
21. Minsky, Y. N.: A geometric approach to the complex of curves on a surface. In: Topology and Teichmüller spaces (Katinkulta, 1995), pp. 149-158. World Science Publishing, River Edge (1996).
22. Paris L., Rolfsen D.: Geometric subgroups of mapping class groups. J. Reine Angew. Math. 521, 47-83 (2000).
23. Powell J.: Two theorems on the mapping class group of a surface. Proc. Am. Math. Soc. 68(3), 347-350 (1978).
24. Shackleton, K. J.: Combinatorial rigidity in curve complexes and mapping class groups. Pac. J. Math. 230(1), 2007.
25. Schmutz-Schaller P.: Mapping class groups of hyperbolic surfaces and automorphism groups of graphs. Comp. Math. 122, 243-260 (2000).
26. Wolpert, S. A.: Geometry of the Weil-Petersson completion of Teichmueller space. In: Yau, S. T. Surveys in Differential Geometry, VIII: Papers in Honor of Calabi, Lawson, Siu and Uhlenbeck, International Press, Cambridge (2003).