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Closed incompressible surfaces in alternating knot and link complements

โœ Scribed by W. Menasco


Publisher
Elsevier Science
Year
1984
Tongue
English
Weight
539 KB
Volume
23
Category
Article
ISSN
0040-9383

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๐Ÿ“œ SIMILAR VOLUMES


Tubed incompressible surfaces in knot an
โœ Elizabeth Finkelstein; Yoav Moriah ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 260 KB

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

Incompressible pairwise incompressible s
โœ Han You Fa ๐Ÿ“‚ Article ๐Ÿ“… 1997 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 706 KB

In this paper, we deal with incompressible pairwise incompressible surfaces in almost alternating knot complements. We show that the genus of a surface in an almost alternating knot exterior equals zero if there are two, four or six boundary components in the surface.

Closed incompressible surfaces in comple
โœ Martin Lustig; Yoav Moriah ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 806 KB

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

Incompressible surfaces in tunnel number
โœ Mario Eudave-Muรฑoz ๐Ÿ“‚ Article ๐Ÿ“… 1999 ๐Ÿ› Elsevier Science ๐ŸŒ English โš– 305 KB

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