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Characteristic
subsurfaces, character varieties and Dehn fillings
Steve Boyer, Marc Culler, Peter B Shalen and Xingru Zhang |
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Geometry & Topology 12 (2008) 233–297
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Abstract |
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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. |
Keywords
characteristic subsurfaces, character varieties, Dehn
filling
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Mathematical Subject Classification 2000
Primary: 57M25, 57M50, 57M99
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References |
Publication
Received: 23 November 2006
Accepted: 31 October 2007
Published: 12 March 2008
Proposed: Cameron Gordon
Seconded: Joan Birman, Martin Bridson
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Authors |
| Steve Boyer | |
| Département de mathématiques Université du Québec à Montréal PO Box 8888 Postal Station Centre-ville Montréal Quebec H3C 3P8 Canada |
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| http://www.cirget.uqam.ca/boyer/boyer.html | |
| Marc Culler | |
| Department of Mathematics,
Statistics and Computer Science (M/C 249) University of Illinois at Chicago 851 S Morgan St Chicago, IL 60607-7045 |
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| http://www.math.uic.edu/~culler/ | |
| Peter B Shalen | |
| Department of Mathematics,
Statistics and Computer Science (M/C 249) University of Illinois at Chicago 851 S Morgan St Chicago IL 60607-7045 USA |
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| http://www.math.uic.edu/~shalen/ | |
| Xingru Zhang | |
| Department of Mathematics SUNY at Buffalo Buffalo NY 14260-2900 USA |
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| http://www.math.buffalo.edu/~xinzhang/ | |
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