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Immersed, virtually-embedded, boundary slopes

โœ Scribed by M. Baker; D. Cooper


Book ID
104295560
Publisher
Elsevier Science
Year
2000
Tongue
English
Weight
134 KB
Volume
102
Category
Article
ISSN
0166-8641

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โœฆ Synopsis


For the figure eight knot, we show that slopes with even numerator are slopes of immersed surfaces covered by incompressible, boundary-incompressible embeddings in some finite cover.


๐Ÿ“œ SIMILAR VOLUMES


Virtually embedded boundary slopes
โœ Joseph Maher ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 145 KB

We show that for certain hyperbolic manifolds all boundary slopes are slopes of ฯ€ 1 -injective immersed surfaces, covered by incompressible embeddings in some finite cover. The manifolds include hyperbolic punctured torus bundles and hyperbolic two-bridge knots.