## Algebraic & Geometric Topology

### Counting immersed surfaces in hyperbolic 3–manifolds

Joseph D Masters

#### Abstract

We count the number of conjugacy classes of maximal, genus $g$, surface subroups in hyperbolic 3–manifold groups. For any closed hyperbolic 3–manifold, we show that there is an upper bound on this number which grows factorially with $g$. We also give a class of closed hyperbolic 3–manifolds for which there is a lower bound of the same type.

#### Article information

Source
Algebr. Geom. Topol., Volume 5, Number 2 (2005), 835-864.

Dates
Accepted: 13 June 2005
First available in Project Euclid: 20 December 2017

https://projecteuclid.org/euclid.agt/1513796433

Digital Object Identifier
doi:10.2140/agt.2005.5.835

Mathematical Reviews number (MathSciNet)
MR2153105

Zentralblatt MATH identifier
1082.57013

#### Citation

Masters, Joseph D. Counting immersed surfaces in hyperbolic 3–manifolds. Algebr. Geom. Topol. 5 (2005), no. 2, 835--864. doi:10.2140/agt.2005.5.835. https://projecteuclid.org/euclid.agt/1513796433

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