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...
متن کاملSimon’s conjecture for fibered knots
We prove Simon’s conjecture for fibered knots in S: a fibered knot group surjects at most finitely many other knot groups.
متن کاملFibered Knots and Property 2r
It is shown, using sutured manifold theory, that if there are any 2-component counterexamples to the Generalized Property R Conjecture, then any knot of least genus among components of such counterexamples is not a fibered knot. The general question of what fibered knots might appear as a component of such a counterexample is further considered; much can be said about the monodromy of the fiber...
متن کاملFibered Transverse Knots and the Bennequin Bound
We prove that a nicely fibered link in a tight contact manifold (M, ξ) with zero Giroux torsion has a transverse representative realizing the Bennequin bound if and only if the contact structure it supports (since it is also the binding of an open book) is ξ. This gives a geometric reason for the non-sharpness of the Bennequin bound for fibered links. We also note that this allows the classific...
متن کاملCosmetic Crossing Changes of Fibered Knots
We prove that a crossing circle L of a fibered knot K bounds a disc in the complement of K, if and only if there is a crossing change supported on L that doesn’t change the isotopy class of K. We also sow that if a knot K is n-adjacent to a fibered knot K′, for some n > 1, then either the genus of K is larger that of K′ or K is isotopic to K′. This statement, which strengthens a result of [9], ...
متن کاملذخیره در منابع من
با ذخیره ی این منبع در منابع من، دسترسی به آن را برای استفاده های بعدی آسان تر کنید
ژورنال
عنوان ژورنال: Transactions of the American Mathematical Society
سال: 1994
ISSN: 0002-9947
DOI: 10.2307/2154613