Geodesic
Orthospectra of geodesic laminations and dilogarithm identities on moduli space
Bridgeman, Martin1
1 Department of Mathematics, Boston College, Chestnut Hill, Ma 02167
Geometry & topology, Tome 15 (2011) no. 2, pp. 707-733.

Voir la notice de l'article provenant de la source Mathematical Sciences Publishers

Given a measured lamination λ on a finite area hyperbolic surface we consider a natural measure Mλ on the real line obtained by taking the push-forward of the volume measure of the unit tangent bundle of the surface under an intersection function associated with the lamination. We show that the measure Mλ gives summation identities for the Rogers dilogarithm function on the moduli space of a surface.

DOI : 10.2140/gt.2011.15.707
Keywords: orthospectrum

Bridgeman, Martin 1

1 Department of Mathematics, Boston College, Chestnut Hill, Ma 02167 
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Bridgeman, Martin. Orthospectra of geodesic laminations and dilogarithm identities on moduli space. Geometry & topology, Tome 15 (2011) no. 2, pp. 707-733. doi : 10.2140/gt.2011.15.707. http://geodesic.mathdoc.fr/articles/10.2140/gt.2011.15.707/

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