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Published April 8, 2012 | Published
Journal Article Open

Counting essential surfaces in a closed hyperbolic three-manifold

Abstract

Let M^3 be a closed hyperbolic three-manifold. We show that the number of genus g surface subgroups of π_1(M^3) grows like g^(2g).

Additional Information

© 2012 Mathematical Sciences Publishers. Received: 5 January 2011; Revised: 26 October 2011; Accepted: 24 December 2011; Published: 8 April 2012.

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Published - Kahn2012p18019Geom_Topol.pdf

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