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

Volume 26
Issue 5, 1597–1963
Issue 4, 1229–1596
Issue 3, 825–1227
Issue 2, 411–824
Issue 1, 1–410

Volume 25, 9 issues

Volume 24, 9 issues

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
Ethics and policies
Peer-review process
 
Submission guidelines
Submission form
Editorial board
 
Subscriptions
 
ISSN (electronic): 1472-2739
ISSN (print): 1472-2747
 
Author index
To appear
 
Other MSP journals
Fibered $3$-manifolds and Veech groups

Christopher J Leininger, Kasra Rafi, Nicholas Rouse, Emily Shinkle and Yvon Verberne

Algebraic & Geometric Topology 25 (2025) 1897–1915
Bibliography
1 J P Bowman, The complete family of Arnoux–Yoccoz surfaces, Geom. Dedicata 164 (2013) 113 MR3054619
2 K Calta, Veech surfaces and complete periodicity in genus two, J. Amer. Math. Soc. 17 (2004) 871 MR2083470
3 A Fathi, F Laudenbach, V Poénaru, editors, Travaux de Thurston sur les surfaces, 66-67, Soc. Math. France (1979) 284 MR568308
4 M Filaseta, S Garoufalidis, Factorization of polynomials in hyperbolic geometry and dynamics, preprint (2022) arXiv:2209.08449
5 D Fried, Flow equivalence, hyperbolic systems and a new zeta function for flows, Comment. Math. Helv. 57 (1982) 237 MR684116
6 D Fried, Transitive Anosov flows and pseudo-Anosov maps, Topology 22 (1983) 299 MR710103
7 E Hironaka, Small dilatation mapping classes coming from the simplest hyperbolic braid, Algebr. Geom. Topol. 10 (2010) 2041 MR2728483
8 C Hodgson, Commensurability, trace fields, and hyperbolic Dehn filling, unpublished notes
9 P Hubert, E Lanneau, Veech groups without parabolic elements, Duke Math. J. 133 (2006) 335 MR2225696
10 P Hubert, E Lanneau, M Möller, The Arnoux–Yoccoz Teichmüller disc, Geom. Funct. Anal. 18 (2009) 1988 MR2491696
11 P Hubert, H Masur, T Schmidt, A Zorich, Problems on billiards, flat surfaces and translation surfaces, from: "Problems on mapping class groups and related topics", Proc. Sympos. Pure Math. 74, Amer. Math. Soc. (2006) 233 MR2264543
12 R Kenyon, J Smillie, Billiards on rational-angled triangles, Comment. Math. Helv. 75 (2000) 65 MR1760496
13 S Khan, C Partin, R R Winarski, Pseudo-Anosov homeomorphisms of punctured nonorientable surfaces with small stretch factor, Algebr. Geom. Topol. 23 (2023) 2823 MR4640141
14 M P Landry, Y N Minsky, S J Taylor, Flows, growth rates, and the veering polynomial, Ergodic Theory Dynam. Systems 43 (2023) 3026 MR4624489
15 E Lanneau, Raconte-moi . . .un pseudo-Anosov, Gaz. Math. (2017) 52 MR3643215
16 D H Lehmer, Factorization of certain cyclotomic functions, Ann. of Math. 34 (1933) 461 MR1503118
17 L Liechti, B Strenner, Minimal pseudo-Anosov stretch factors on nonoriented surfaces, Algebr. Geom. Topol. 20 (2020) 451 MR4071380
18 C T McMullen, Polynomial invariants for fibered 3-manifolds and Teichmüller geodesics for foliations, Ann. Sci. École Norm. Sup. 33 (2000) 519 MR1832823
19 C T McMullen, Billiards and Teichmüller curves on Hilbert modular surfaces, J. Amer. Math. Soc. 16 (2003) 857 MR1992827
20 C T McMullen, Teichmüller geodesics of infinite complexity, Acta Math. 191 (2003) 191 MR2051398
21 J P Otal, Thurston’s hyperbolization of Haken manifolds, from: "Surveys in differential geometry, III", International (1998) 77 MR1677888
22 P Przytycki, G Schmithüsen, F Valdez, Veech groups of Loch Ness monsters, Ann. Inst. Fourier (Grenoble) 61 (2011) 673 MR2895069
23 C Ramírez Maluendas, F Valdez, Veech groups of infinite-genus surfaces, Algebr. Geom. Topol. 17 (2017) 529 MR3604384
24 , SageMath, version 9.3 (2021)
25 A Schinzel, Addendum to ‘On the product of the conjugates outside the unit circle of an algebraic number’, 24 (1973) 385–399, Acta Arith. 26 (1974/75) 329 MR371853
26 C Smyth, The Mahler measure of algebraic numbers : a survey, from: "Number theory and polynomials", Lond. Math. Soc. Lect. Note Ser. 352, Cambridge Univ. Press (2008) 322 MR2428530
27 W P Thurston, A norm for the homology of 3-manifolds, 339, Amer. Math. Soc. (1986) MR823443
28 W P Thurston, On the geometry and dynamics of diffeomorphisms of surfaces, Bull. Amer. Math. Soc. 19 (1988) 417 MR956596