We prove that the complements of all knots and links in S 3 which have a 2n-plat projection with absolute value of all twist coefficients bigger than 2 contain closed embedded incompressible nonboundary parallel surfaces. These surfaces are obtained from essential planar meridional surfaces by tubin
โฆ LIBER โฆ
Totally Geodesic Seifert Surfaces in Hyperbolic Knot and Link Complements I
โ Scribed by Colin Adams; Eric Schoenfeld
- Book ID
- 118299360
- Publisher
- Springer
- Year
- 2005
- Tongue
- English
- Weight
- 257 KB
- Volume
- 116
- Category
- Article
- ISSN
- 0046-5755
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We define the notion of wide knots (and links) and show that they contain closed incompressible nonboundary parallel surfaces in their complement. This is done by proving that these complements admit Heegaard splittings which are irreducible but weakly reducible, and using an extension of a result o