Elementary knot theory
M Lackenby - arXiv preprint arXiv:1604.03778, 2016 - arxiv.org
arXiv:1604.03778v1 [math.GT] 13 Apr 2016 Page 1 arXiv:1604.03778v1 [math.GT] 13 Apr
2016 ELEMENTARY KNOT THEORY MARC LACKENBY 1. Introduction …
2016 ELEMENTARY KNOT THEORY MARC LACKENBY 1. Introduction …
[图书][B] Encyclopedia of knot theory
" Knot theory is a fascinating mathematical subject, with multiple links to theoretical physics.
This enyclopedia is filled with valuable information on a rich and fascinating subject."–Ed …
This enyclopedia is filled with valuable information on a rich and fascinating subject."–Ed …
[HTML][HTML] Knots with unknotting number one and Heegaard Floer homology
P Ozsváth, Z Szabó - Topology, 2005 - Elsevier
We use Heegaard Floer homology to give obstructions to unknotting a knot with a single
crossing change. These restrictions are particularly useful in the case where the knot in …
crossing change. These restrictions are particularly useful in the case where the knot in …
The unknotting number and classical invariants, I
M Borodzik, S Friedl - Algebraic & Geometric Topology, 2015 - msp.org
Given a knot K we introduce a new invariant coming from the Blanchfield pairing and we
show that it gives a lower bound on the unknotting number of K. This lower bound subsumes …
show that it gives a lower bound on the unknotting number of K. This lower bound subsumes …
[PDF][PDF] Four-genus and unknotting number of positive knots and links
T Nakamura - 2000 - projecteuclid.org
A link is a closed 1-manifold embedded in the 3-sphere S3 and a knot is a link with one
connected component. The unknotting number of a knot K, denoted by u (K), is the minimum …
connected component. The unknotting number of a knot K, denoted by u (K), is the minimum …
Knots of genus one or on the number of alternating knots of given genus
A Stoimenow - Proceedings of the American Mathematical Society, 2001 - ams.org
KNOTS OF GENUS ONE OR ON THE NUMBER OF ALTERNATING KNOTS OF GIVEN GENUS
1. Introduction The motivation for the present paper cam Page 1 PROCEEDINGS OF THE …
1. Introduction The motivation for the present paper cam Page 1 PROCEEDINGS OF THE …
Polynomial values, the linking form and unknotting numbers
A Stoimenow - arXiv preprint math/0405076, 2004 - arxiv.org
We show how the signed evaluations of link polynomials can be used to calculate
unknotting numbers. We use the Jones-Rong value of the Brandt-Lickorish-Millett-Ho …
unknotting numbers. We use the Jones-Rong value of the Brandt-Lickorish-Millett-Ho …
Uniqueness of minimal genus Seifert surfaces for links
T Kobayashi - Topology and its Applications, 1989 - Elsevier
We study the method of deciding whether the minimal genus Seifert surfaces for the given
link in the 3-sphere are unique. We give a sufficient condition for the uniqueness by using …
link in the 3-sphere are unique. We give a sufficient condition for the uniqueness by using …
Almost positive links have negative signature
JH Przytycki, K Taniyama - Journal of Knot Theory and Its …, 2010 - World Scientific
We analyze properties of links which have diagrams with a small number of negative
crossings. We show that if a nontrivial link has a diagram with all crossings positive except …
crossings. We show that if a nontrivial link has a diagram with all crossings positive except …
[PDF][PDF] Minimal genus Seifert surfaces for special arborescent links
M Sakuma - 1994 - projecteuclid.org
The unique prime decomposition theorem of knots and links proved by Schubert [26] and
Hashizume [11] reduces the classification problem of links to that of prime links, and it is also …
Hashizume [11] reduces the classification problem of links to that of prime links, and it is also …