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Incompressible punctured tori in the complements of alternating knots

โœ Scribed by Robert M. Patton

Book ID
105201372
Publisher
Springer
Year
1995
Tongue
English
Weight
924 KB
Volume
301
Category
Article
ISSN
0025-5831

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๐Ÿ“œ SIMILAR VOLUMES

Incompressible pairwise incompressible s
Incompressible pairwise incompressible surfaces in almost alternating knot complements
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
Closed incompressible surfaces in complements of wide knots and links
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