منابع مشابه
Seifert forms and concordance
If a knot K has Seifert matrix VK and has a prime power cyclic branched cover that is not a homology sphere, then there is an infinite family of non–concordant knots having Seifert matrix VK . AMS Classification numbers Primary: 57M25 Secondary: 57N70
متن کاملEXAMPLES IN CONCORDANCE 3 Seifert
In this paper we present a series of examples of new phenomena in the classical knot concordance group. First we show that for (almost) every Seifert form there is an infinite family of knots, distinct in concordance, having that form. Next we demonstrate that a number of results that are known to hold in higher dimensional concordance fail in the classical case. These include: (1) examples of ...
متن کاملUnknotting Tunnels and Seifert Surfaces
Let K be a knot with an unknotting tunnel γ and suppose that K is not a 2-bridge knot. There is an invariant ρ = p/q ∈ Q/2Z, p odd, defined for the pair (K, γ). The invariant ρ has interesting geometric properties: It is often straightforward to calculate; e. g. for K a torus knot and γ an annulus-spanning arc, ρ(K, γ) = 1. Although ρ is defined abstractly, it is naturally revealed when K ∪ γ i...
متن کاملPersistent laminations from Seifert surfaces
We show how an incompressible Seifert surface F for a knot K in S can be used to create an essential lamination LF in the complement of each of an in nite class of knots associated to F . This lamination is persistent for these knots; it remains essential under all non-trivial Dehn llings of the knot complement. This implies a very strong form of Property P for each of these knots.
متن کاملSeifert Surfaces of Maximal Euler Characteristic
Given a link L ⊂ S 3 , a Seifert surface S for L is a compact, orientable surface with boundary L. The Euler characteristic χ(L) of the link L is dened to be the maximum over all Euler characteristics χ(S) of Seifert surfaces S for L. Seifert surfaces exist for all L, and this denition presents itself with the problem of calculating χ(L). An easily applicable method for producing Seifert surfac...
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: Pacific Journal of Mathematics
سال: 2019
ISSN: 0030-8730,0030-8730
DOI: 10.2140/pjm.2019.298.429