Geometry & Topology Volume 13, issue 4 (2009)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Editorial Procedure

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN (electronic): 1364-0380

ISSN (print): 1465-3060

Other MSP Journals

The asymptotic behavior of least pseudo-Anosov dilatations

Chia-Yen Tsai

Geometry & Topology 13 (2009) 2253–2278

DOI: 10.2140/gt.2009.13.2253

Bibliography

1	M Bauer, An upper bound for the least dilatation, Trans. Amer. Math. Soc. 330 (1992) 361 MR1094556
2	M Bestvina, M Handel, Train-tracks for surface homeomorphisms, Topology 34 (1995) 109 MR1308491
3	R Bott, L W Tu, Differential forms in algebraic topology, Graduate Texts in Math. 82, Springer (1982) MR658304
4	A Fathi, F Laudenbach, V Poenaru, editors, Travaux de Thurston sur les surfaces, Astérisque 66, Soc. Math. France (1991) 286 MR568308
5	F R Gantmacher, The theory of matrices. Vols. 1, 2, Translated by K. A. Hirsch, Chelsea Publ. Co. (1959) MR0107649
6	V Guillemin, A Pollack, Differential topology, Prentice-Hall (1974) MR0348781
7	E Hironaka, E Kin, A family of pseudo-Anosov braids with small dilatation, Algebr. Geom. Topol. 6 (2006) 699 MR2240913
8	N V Ivanov, Coefficients of expansion of pseudo-Anosov homeomorphisms, Zap. Nauchn. Sem. Leningrad. Otdel. Mat. Inst. Steklov. (LOMI) 167 (1988) 111, 191 MR964259
9	N V Ivanov, Subgroups of Teichmüller modular groups, Transl. of Math. Monogr. 115, Amer. Math. Soc. (1992) MR1195787
10	C T McMullen, Polynomial invariants for fibered $3$–manifolds and Teichmüller geodesics for foliations, Ann. Sci. École Norm. Sup. $(4)$ 33 (2000) 519 MR1832823
11	H Minakawa, Examples of pseudo-Anosov homeomorphisms with small dilatations, J. Math. Sci. Univ. Tokyo 13 (2006) 95 MR2277516
12	R C Penner, A construction of pseudo-Anosov homeomorphisms, Trans. Amer. Math. Soc. 310 (1988) 179 MR930079
13	R C Penner, Bounds on least dilatations, Proc. Amer. Math. Soc. 113 (1991) 443 MR1068128