Simple spun knots
نویسندگان
چکیده
منابع مشابه
Which Finite Simple Knots Are Twist-spun?
We investigate which simple even-dimensional knots with finite knot modules may arise as twist-spun simple knots; and give some examples of knots which cannot so arise for reasons which are essentially number-theoretic.
متن کاملTwisting Spun Knots
1. Introduction. In [5] Mazur constructed a homotopy 4-sphere which looked like one of the strongest candidates for a counterexample to the 4-dimensional Poincaré Conjecture. In this paper we show that Mazur's example is in fact a true 4-sphere after all. This raises the odds in favour of the 4-dimensional Poincaré Conjecture. The proof involves a smooth knot of S2 in S4 with unusual properties.
متن کاملOn the Reversibility of Twist-spun Knots
Litherland has shown that if a knot is (+)-amphicheiral then its m-twist-spin is reversible. We show that, for classical knots, in many cases the converse holds. The irreversibility (sometimes called noninvertibility) of certain twist-spun knots has been established by Ruberman [10], using the Farber-Levine linking pairing and the Casson-Gordon invariants. More recently, alternative proofs of t...
متن کامل2 00 3 All frame - spun knots are slice
Frame-spun knots are constructed by spinning a knot of lower dimension about a framed submanifold of S n. We show that all frame-spun knots are slice (null-cobordant).
متن کاملTransversely Non Simple Knots
By proving a connected sum formula for the Legendrian invariant λ+ in knot Floer homology we exhibit infinitely many transversely non simple knots. Moreover we construct knots admitting many non-isotopic transverse representatives with equal selflinking number.
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ژورنال
عنوان ژورنال: Topology
سال: 1984
ISSN: 0040-9383
DOI: 10.1016/0040-9383(84)90028-4