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12 mars 2008
- handle: 10670/1.pq2bjb
- Boyer, Steve; Culler, Marc; Shalen, Peter B et Zhang, Xingru (2008). « Characteristic subsurfaces, character varieties and Dehn fillings ». Geometry & Topology, 12(1), pp. 233-297.
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http://archipel.uqam.ca/8171/
Ce document est lié à :
http://dx.doi.org/10.2140/gt.2008.12.233
Ce document est lié à :
doi:10.2140/gt.2008.12.233
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Steve Boyer et al., « Characteristic subsurfaces, character varieties and Dehn fillings », UQAM Archipel : articles scientifiques, ID : 10670/1.pq2bjb
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Résumé
Let M be a one-cusped hyperbolic 3–manifold. A slope on the boundary of the compact core of M 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 α and β in several situations. These include cases where M(β) is reducible and where M(α) has finite π1, or M(α) is very small, or M(α) admits a π1–injective immersed torus.