Geometry & Topology
- Geom. Topol.
- Volume 12, Number 1 (2008), 233-297.
Characteristic subsurfaces, character varieties and Dehn fillings
Let be a one-cusped hyperbolic –manifold. A slope on the boundary of the compact core of is called exceptional if the corresponding Dehn filling produces a non-hyperbolic manifold. We give new upper bounds for the distance between two exceptional slopes and in several situations. These include cases where is reducible and where has finite , or is very small, or admits a –injective immersed torus.
Geom. Topol., Volume 12, Number 1 (2008), 233-297.
Received: 23 November 2006
Accepted: 31 October 2007
First available in Project Euclid: 20 December 2017
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Boyer, Steve; Culler, Marc; Shalen, Peter B; Zhang, Xingru. Characteristic subsurfaces, character varieties and Dehn fillings. Geom. Topol. 12 (2008), no. 1, 233--297. doi:10.2140/gt.2008.12.233. https://projecteuclid.org/euclid.gt/1513800020