A non-ribbon plumbing of fibered ribbon knots
نویسندگان
چکیده
منابع مشابه
A Non-ribbon Plumbing of Fibered Ribbon Knots
A closer look at an example introduced by Livingston & Melvin and later studied by Miyazaki shows that a plumbing of two fibered ribbon knots (along their fiber surfaces) may be algebraically slice yet not ribbon. Trivially, the connected sum (i.e., 2-gonal Murasugi sum) of ribbon knots is ribbon. Non-trivially [6, 1], any Murasugi sum of fibered knots (along their fiber surfaces) is fibered. I...
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The purpose of this document is to clarify the inductive step described in the proof of Theorem 3.2 in [2]. In the second last sentence of the proof, it says, ‘it follows from the inductive proof that Rn is of index two.’ The question of how this assertion is verified was first raised by Dror Bar Natan and his student Ofer Ron [1]. To avoid any confusions that may arise in the future, the autho...
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Tensorial logic is a primitive logic of tensor and negation which refines linear logic by relaxing the hypothesis that tensorial negation A 7→ ¬A is involutive. The resulting logic of linear continuations provides a proof-theoretic account of game semantics, where the formulas and proofs of the logic reflect univoquely dialogue games and innocent strategies. In the present paper, we introduce a...
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ژورنال
عنوان ژورنال: Proceedings of the American Mathematical Society
سال: 2002
ISSN: 0002-9939,1088-6826
DOI: 10.1090/s0002-9939-02-06520-6