Volume 12, issue 3 (2008)

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

Volume 28
Issue 7, 3001–3510
Issue 6, 2483–2999
Issue 5, 1995–2482
Issue 4, 1501–1993
Issue 3, 1005–1499
Issue 2, 497–1003
Issue 1, 1–496

Volume 27, 9 issues

Volume 26, 8 issues

Volume 25, 7 issues

Volume 24, 7 issues

Volume 23, 7 issues

Volume 22, 7 issues

Volume 21, 6 issues

Volume 20, 6 issues

Volume 19, 6 issues

Volume 18, 5 issues

Volume 17, 5 issues

Volume 16, 4 issues

Volume 15, 4 issues

Volume 14, 5 issues

Volume 13, 5 issues

Volume 12, 5 issues

Volume 11, 4 issues

Volume 10, 4 issues

Volume 9, 4 issues

Volume 8, 3 issues

Volume 7, 2 issues

Volume 6, 2 issues

Volume 5, 2 issues

Volume 4, 1 issue

Volume 3, 1 issue

Volume 2, 1 issue

Volume 1, 1 issue

The Journal
About the Journal
Editorial Board
Editorial Procedure
Subscriptions
 
Submission Guidelines
Submission Page
Policies for Authors
Ethics Statement
 
ISSN 1364-0380 (online)
ISSN 1465-3060 (print)
Author Index
To Appear
 
Other MSP Journals
Degenerations of quadratic differentials on $\mathbb{CP}^1$

Corentin Boissy

Geometry & Topology 12 (2008) 1345–1386
Bibliography
1 C Boissy, Configuration of saddle connections of quadratic differential on $\mathbb{CP}^1$ and on hyperelliptic Riemann surfaces (2008) arXiv:0705.3142
2 C Boissy, E Lanneau, Dynamics and geometry of the Rauzy–Veech induction for quadratic differentials (2007) arXiv:0710.5614
3 C Danthony, A Nogueira, Measured foliations on nonorientable surfaces, Ann. Sci. École Norm. Sup. $(4)$ 23 (1990) 469 MR1055445
4 A Eskin, H Masur, A Zorich, Moduli spaces of abelian differentials: the principal boundary, counting problems, and the Siegel-Veech constants, Publ. Math. Inst. Hautes Études Sci. 97 (2003) 61 MR2010740
5 J Hubbard, H Masur, Quadratic differentials and foliations, Acta Math. 142 (1979) 221 MR523212
6 B Hughes, A Ranicki, Ends of complexes, Cambridge Tracts in Mathematics 123, Cambridge University Press (1996) MR1410261
7 M Kontsevich, A Zorich, Connected components of the moduli spaces of Abelian differentials with prescribed singularities, Invent. Math. 153 (2003) 631 MR2000471
8 H Masur, Interval exchange transformations and measured foliations, Ann. of Math. $(2)$ 115 (1982) 169 MR644018
9 H Masur, J Smillie, Hausdorff dimension of sets of nonergodic measured foliations, Ann. of Math. $(2)$ 134 (1991) 455 MR1135877
10 H Masur, S Tabachnikov, Rational billiards and flat structures, from: "Handbook of dynamical systems, Vol. 1A", North-Holland (2002) 1015 MR1928530
11 H Masur, A Zorich, Multiple saddle connections on flat surfaces and the principal boundary of the moduli space of quadratic differentials arXiv:math/0402197v2
12 W A Veech, Gauss measures for transformations on the space of interval exchange maps, Ann. of Math. $(2)$ 115 (1982) 201 MR644019
13 W A Veech, Geometric realizations of hyperelliptic curves, from: "Algorithms, fractals, and dynamics (Okayama/Kyoto, 1992)", Plenum (1995) 217 MR1402493
14 J C Yoccoz, Continued fraction algorithms for interval exchange maps: an introduction, from: "Frontiers in number theory, physics, and geometry. I", Springer (2006) 401 MR2261103
15 A Zorich, Flat surfaces, from: "Frontiers in number theory, physics, and geometry. I", Springer (2006) 437 MR2261104