Geodesic
Counting essential surfaces in a closed hyperbolic three-manifold
Kahn, Jeremy1 ; Marković, Vladimir2
1 Department of Mathematics, Brown University, Providence RI 02912, USA
2 Department of Mathematics, California Institute of Technology, Pasadena CA 91105, USA
Geometry & topology, Tome 16 (2012) no. 1, pp. 601-624.

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

Let M3 be a closed hyperbolic three-manifold. We show that the number of genus g surface subgroups of π1(M3) grows like g2g.

DOI : 10.2140/gt.2012.16.601
Classification : 57M50, 20H10
Keywords: hyperbolic $3$–manifold, essential surface

Kahn, Jeremy 1 ; Marković, Vladimir 2

1 Department of Mathematics, Brown University, Providence RI 02912, USA
2 Department of Mathematics, California Institute of Technology, Pasadena CA 91105, USA 
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Kahn, Jeremy; Marković, Vladimir. Counting essential surfaces in a closed hyperbolic three-manifold. Geometry & topology, Tome 16 (2012) no. 1, pp. 601-624. doi : 10.2140/gt.2012.16.601. http://geodesic.mathdoc.fr/articles/10.2140/gt.2012.16.601/

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