Teichm�ller curves in moduli space, Eisenstein series and an application to triangular billiards

William A. Veech

Type: Article

Publication Date: 1989-10-01

Citations: 435

DOI: https://doi.org/10.1007/bf01388890

View Publication

Locations

Inventiones mathematicae - View

Similar Works

Action	Title	Year	Authors
+	Erratum: Teichmüller curves in moduli space, Eisenstein series and an application to triangular billiards. Invent. Math. 97, 553-583 (1989).	1991	William A. Veech
+ PDF Chat	Teichm�ller curves in moduli space, Eisenstein series and an application to triangular billiards	1991	William A. Veech
+	Erratum for “Billiards and Teichmüller curves”	2024
+	Teichmüller Curves Through Fermat Curves	2008	William A. Veech
+	Loci of Triangular Orbits in an Elliptic Billiard: Elliptic? Algebraic?	2020	Ronaldo Garcia Dan Reznik Jair Koiller
+ PDF Chat	Cusps and $q$-expansion principles for modular curves at infinite level	2022	Ben Heuer
+	The generating function for traces of singular moduli and an application to Borcherds products	2010	Chang Heon Kim
+ PDF Chat	Billiards and Teichmüller curves	2022	Curtis T. McMullen
+	Elliptic modular transformations on Teichmuller and asymptotic Teichmuller spaces (Infinite dimensional Teichmuller spaces and moduli spaces)	2010	Ege Fujikawa
+	Teichmüller Curves	2014	Christian Weiß
+	Chapter 4 Eisenstein Series Associated with Cusp Forms	1981
+ PDF Chat	Holomorphic quadratic differentials in Teichmüller theory	2020	Subhojoy Gupta
+ PDF Chat	Teichmüller curves in genus two: Torsion divisors and ratios of sines	2006	Curtis T. McMullen
+	Trace moduli for Teichmüller spaces of Kleinian groups	1977	Frederick P. Gardiner
+	Holomorphic quadratic differentials in Teichmüller theory	2019	Subhojoy Gupta
+	GEOMETRY OF TEICHMÜLLER CURVES	2019	Martin Möller
+	Seiberg-Witten curves for elliptic models	2003	Eric DâHoker D. H. Phong Shing‐Tung Yau
+	Moduli spaces of elliptic curves	2016	Santiago Arango Piñeros
+	Chevalley groups over ℂ ((t)) and deformations of simply elliptic singularities	1982	Peter Slodowy
+	Iwasawa theory for elliptic curves at supersingular primes	2003	Shin-ichi Kobayashi

Works That Cite This (427)

Action	Title	Year	Authors
+ PDF Chat	Periodic billiard orbits are dense in rational polygons	1998	Michael Boshernitzan Gregory Galperin Tyll Krüger Serge Troubetzkoy
+	Billiards, quadrilaterals and moduli spaces	2020	Alex Eskin Curtis T. McMullen Ronen E. Mukamel Alex Wright
+ PDF Chat	Counting problem on wind-tree models	2018	Angel Pardo
+ PDF Chat	Residual generic ergodicity of periodic group extensions over translation surfaces	2016	David Ralston Serge Troubetzkoy
+ PDF Chat	The WYSIWYG compactification	2020	Dawei Chen Alex Wright
+ PDF Chat	Braid groups and Hodge theory	2012	Curtis T. McMullen
+ PDF Chat	Billiard dynamics: An updated survey with the emphasis on open problems	2012	Eugène Gutkin
+	Rotational component spaces for infinite-type translation surfaces	2014	Lucien Clavier Anja Randecker Chenxi Wu
+ PDF Chat	Non-periodic not everywhere dense trajectories in triangular billiards	2024	Julia Slipantschuk Oscar F. Bandtlow Wolfram Just
+	Special Families of Curves, of Abelian Varieties, and of Certain Minimal Manifolds over Curves	2006	Martin Möller Eckart Viehweg Kang Zuo

Works Cited by This (12)

Action	Title	Year	Authors
+	Lower bounds for the number of saddle connections and closed trajectories of a quadratic differential	1988	Howard Masur
+ PDF Chat	Discontinuous Groups and Automorphic Functions	1964	Joseph Lehner
+	A condition for minimal interval exchange maps to be uniquely ergodic	1985	Michael Boshernitzan
+	Topological transitivity of billiards in polygons	1975	A. N. Zemlyakov A. Katok
+	Ergodicity of Billiard Flows and Quadratic Differentials	1986	Steven P. Kerckhoff Howard Masur John Smillie
+	On the Nielsen-Thurston-Bers type of some self-maps of Riemann surfaces	1981	Irwin Kra
+	Moduli spaces of quadratic differentials	1990	William A. Veech
+ PDF Chat	Billiards on almost integrable polyhedral surfaces	1984	Eugène Gutkin
+	Interval Exchange Transformations and Measured Foliations	1982	Howard Masur
+ PDF Chat	Arithmetic triangle groups	1977	Kisao Takeuchi