Volume 15, issue 2 (2011)

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

Volume 29
Issue 4, 1693–2250
Issue 3, 1115–1691
Issue 2, 549–1114
Issue 1, 1–548

Volume 28, 9 issues

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
Orthospectra of geodesic laminations and dilogarithm identities on moduli space

Martin Bridgeman

Geometry & Topology 15 (2011) 707–733
Bibliography
1 A Basmajian, The orthogonal spectrum of a hyperbolic manifold, Amer. J. Math. 115 (1993) 1139 MR1246187
2 B C Berndt, Ramanujan's Notebooks Part IV, Springer (1994) MR1261634
3 M Bridgeman, D Dumas, Distribution of intersection lengths of a random geodesic with a geodesic lamination, Ergodic Theory Dynam. Systems 27 (2007) 1055 MR2342965
4 M Bridgeman, J Kahn, Hyperbolic volume of manifolds with geodesic boundary and orthospectra, Geom. Funct. Anal. 20 (2010) 1210 MR2746952
5 D Calegari, Chimneys, leopard spots and the identities of Basmajian and Bridgeman, Algebr. Geom. Topol. 10 (2010) 1857 MR2684984
6 D Calegari, Bridgeman's orthospectrum identity, Topology Proc. 38 (2011) 173 MR2680162
7 B Gordon, R J McIntosh, Algebraic dilogarithm identities, Ramanujan J. 1 (1997) 431 MR1608701
8 E Hopf, Statistik der geodätischen Linien in Mannigfaltigkeiten negativer Krümmung, Ber. Verh. Sächs. Akad. Wiss. Leipzig 91 (1939) 261 MR0001464
9 L Lewin, editor, Structural properties of polylogarithms, Mathematical Surveys and Monographs 37, American Mathematical Society (1991) MR1148371
10 P J Nicholls, The ergodic theory of discrete groups, London Mathematical Society Lecture Note Series 143, Cambridge University Press (1989) MR1041575
11 L J Rogers, On function sum theorems connected with the series $\sum_1^{\infty} \frac{x^n}{n^2}$, Proc. London Math. Soc. 4 (1907) 169