Algebraic & Geometric Topology Volume 24, issue 4 (2024)

Download this article
	For screen
	For printing

Recent Issues

The Journal

About the Journal

Editorial Board

Submission Guidelines

Submission Page

Policies for Authors

Ethics Statement

ISSN 1472-2739 (online)

ISSN 1472-2747 (print)

Other MSP Journals

Relative systoles in hyperelliptic translation surfaces

Corentin Boissy and Slavyana Geninska

Algebraic & Geometric Topology 24 (2024) 1903–1912

DOI: 10.2140/agt.2024.24.1903

Bibliography

1	C Boissy, S Geninska, Systoles in translation surfaces, Bull. Soc. Math. France 149 (2021) 417 MR4307431
2	A Eskin, M Kontsevich, A Zorich, Sum of Lyapunov exponents of the Hodge bundle with respect to the Teichmüller geodesic flow, Publ. Math. Inst. Hautes Études Sci. 120 (2014) 207 MR3270590
3	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
4	C Judge, H Parlier, The maximum number of systoles for genus two Riemann surfaces with abelian differentials, Comment. Math. Helv. 94 (2019) 399 MR3942788
5	S Kerckhoff, H Masur, J Smillie, Ergodicity of billiard flows and quadratic differentials, Ann. of Math. 124 (1986) 293 MR855297
6	M Kontsevich, A Zorich, Connected components of the moduli spaces of abelian differentials with prescribed singularities, Invent. Math. 153 (2003) 631 MR2000471
7	H Masur, Interval exchange transformations and measured foliations, Ann. of Math. 115 (1982) 169 MR0644018
8	W A Veech, Gauss measures for transformations on the space of interval exchange maps, Ann. of Math. 115 (1982) 201 MR0644019
9	W A Veech, Moduli spaces of quadratic differentials, J. Anal. Math. 55 (1990) 117 MR1094714