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Knot complements and groups

โœ Scribed by Wilbur Whitten

Publisher
Elsevier Science
Year
1987
Tongue
English
Weight
260 KB
Volume
26
Category
Article
ISSN
0040-9383

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๐Ÿ“œ SIMILAR VOLUMES

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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

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A knot k in S 3 has tunnel number one, if there exist an arc ฯ„ embedded in S 3 , with k โˆฉ ฯ„ = โˆ‚ฯ„ , such that S 3int N(k โˆช ฯ„ ) is a genus 2 handlebody. In this paper we construct for each integer g 2, infinitely many tunnel number one knots, whose complement contain a closed incompressible surface o

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