Algebraic & Geometric Topology Volume 7, issue 3 (2007)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the journal

Ethics and policies

Peer-review process

Submission guidelines

Submission form

Editorial board

ISSN (electronic): 1472-2739

ISSN (print): 1472-2747

Other MSP journals

A presentation for the baseleaf preserving mapping class group of the punctured solenoid

Sylvain Bonnot, Robert C Penner and Dragomir Šarić

Algebraic & Geometric Topology 7 (2007) 1171–1199

DOI: 10.2140/agt.2007.7.1171

Bibliography

1	M A Armstrong, On the fundamental group of an orbit space, Proc. Cambridge Philos. Soc. 61 (1965) 639 MR0187244
2	K S Brown, Presentations for groups acting on simply-connected complexes, J. Pure Appl. Algebra 32 (1984) 1 MR739633
3	A Douady, C J Earle, Conformally natural extension of homeomorphisms of the circle, Acta Math. 157 (1986) 23 MR857678
4	D B A Epstein, R C Penner, Euclidean decompositions of noncompact hyperbolic manifolds, J. Differential Geom. 27 (1988) 67 MR918457
5	J L Harer, The virtual cohomological dimension of the mapping class group of an orientable surface, Invent. Math. 84 (1986) 157 MR830043
6	A Hatcher, On triangulations of surfaces, Topology Appl. 40 (1991) 189 MR1123262
7	A Hatcher, W Thurston, A presentation for the mapping class group of a closed orientable surface, Topology 19 (1980) 221 MR579573
8	N V Ivanov, Automorphisms of complexes of curves and of Teichmüller spaces, from: "Progress in knot theory and related topics", Travaux en Cours 56, Hermann (1997) 113 MR1603146
9	S Nag, D Sullivan, Teichmüller theory and the universal period mapping via quantum calculus and the $H^{1/2}$ space on the circle, Osaka J. Math. 32 (1995) 1 MR1323099
10	C Odden, Virtual automorphism group of the fundamental group of a closed surface, PhD thesis, Duke University, Durham (1997)
11	C Odden, The baseleaf preserving mapping class group of the universal hyperbolic solenoid, Trans. Amer. Math. Soc. 357 (2005) 1829 MR2115078
12	R C Penner, The decorated Teichmüller space of punctured surfaces, Comm. Math. Phys. 113 (1987) 299 MR919235
13	R C Penner, Universal constructions in Teichmüller theory, Adv. Math. 98 (1993) 143 MR1213724
14	R C Penner, D Šarić, Teichmüller theory of the punctured solenoid
15	D Sullivan, Linking the universalities of Milnor–Thurston, Feigenbaum and Ahlfors–Bers, from: "Topological methods in modern mathematics (Stony Brook, NY, 1991)", Publish or Perish (1993) 543 MR1215976