Multivariate Signatures of Iterated Torus Links

We compute Cayley graphs and automorphism groups for all finite [Formula: see text]-quandles of two-bridge and torus knots and links, as well as torus links with an axis.

Download Full-text

THE HOMFLY POLYNOMIAL FOR TORUS LINKS FROM CHERN–SIMONS GAUGE THEORY

International Journal of Modern Physics A ◽

10.1142/s0217751x95000516 ◽

1995 ◽

Vol 10 (07) ◽

pp. 1045-1089 ◽

Cited By ~ 8

Author(s):

J. M. F. LABASTIDA ◽

M. MARIÑO

Keyword(s):

Gauge Theory ◽

Gauge Group ◽

Homfly Polynomial ◽

Fundamental Representation ◽

Torus Knots ◽

Polynomial Invariants ◽

Chern Simons ◽

Knots And Links ◽

Torus Links

Polynomial invariants corresponding to the fundamental representation of the gauge group SU(N) are computed for arbitrary torus knots and links in the framework of Chern–Simons gauge theory making use of knot operators. As a result, a formula for the HOMFLY polynomial for arbitrary torus links is presented.

Download Full-text

BPS States, Torus Links and Wild Character Varieties

Communications in Mathematical Physics ◽

10.1007/s00220-018-3097-9 ◽

2018 ◽

Vol 359 (3) ◽

pp. 1027-1078 ◽

Cited By ~ 3

Author(s):

Duiliu-Emanuel Diaconescu ◽

Ron Donagi ◽

Tony Pantev

Keyword(s):

Character Varieties ◽

Bps States ◽

Torus Links

Download Full-text

ERRATUM: "TURNING DOUBLE-TORUS LINKS INSIDE OUT"

Journal of Knot Theory and Its Ramifications ◽

10.1142/s0218216513920028 ◽

2013 ◽

Vol 22 (05) ◽

pp. 1392002

Author(s):

S. LANE ◽

H. NORWOOD ◽

R. NORWOOD

Keyword(s):

Double Torus ◽

Inside Out ◽

Torus Links

Download Full-text

Evaluation of Various Networks Configurated by Adding Bypass or Torus Links

IEEE Transactions on Parallel and Distributed Systems ◽

10.1109/tpds.2014.2315201 ◽

2015 ◽

Vol 26 (4) ◽

pp. 984-996 ◽

Cited By ~ 4

Author(s):

Peng Zhang ◽

Yuefan Deng ◽

Rui Feng ◽

Xingguo Luo ◽

Jiangxing Wu

Keyword(s):

Torus Links

Download Full-text

A SHARP UPPER BOUND FOR REGION UNKNOTTING NUMBER OF TORUS KNOTS

Journal of Knot Theory and Its Ramifications ◽

10.1142/s0218216513500193 ◽

2013 ◽

Vol 22 (05) ◽

pp. 1350019 ◽

Cited By ~ 1

Author(s):

SIWACH VIKASH ◽

MADETI PRABHAKAR

Keyword(s):

Large Class ◽

Upper Bound ◽

Torus Knots ◽

Torus Links

Region crossing change for a knot or a proper link is an unknotting operation. In this paper, we provide a sharp upper bound on the region unknotting number for a large class of torus knots and proper links. Also, we discuss conditions on torus links to be proper.

Download Full-text

A four-dimensional analogy of torus links

Topology and its Applications ◽

10.1016/s0166-8641(03)00073-7 ◽

2003 ◽

Vol 133 (3) ◽

pp. 199-207 ◽

Cited By ~ 2

Author(s):

Susumu Hirose

Keyword(s):

Torus Links

Download Full-text

PLANE REAL ALGEBRAIC CURVES OF ODD DEGREE WITH A DEEP NEST

Journal of Knot Theory and Its Ramifications ◽

10.1142/s0218216505003920 ◽

2005 ◽

Vol 14 (04) ◽

pp. 497-522 ◽

Cited By ~ 2

Author(s):

STEPAN YU. OREVKOV

Keyword(s):

Algebraic Curves ◽

Base Case ◽

Induction Step ◽

Real Algebraic Curves ◽

Conway Polynomial ◽

Odd Degree ◽

Skein Relation ◽

Torus Links

We apply the Murasugi–Tristram inequality to real algebraic curves of odd degree in RP2 with a deep nest, i.e. a nest of the depth k - 1 where 2k + 1 is the degree. For such curves, the ingredients of the Murasugi–Tristram inequality can be computed (or estimated) inductively using the computations for iterated torus links due to Eisenbud and Neumann as the base case of the induction and Conway's skein relation as the induction step. As an example of applications, we prove that some isotopy types are not realizable by M-curves of degree 9. In Appendix B, we give some generalization of the skein relation for Conway polynomial.

Download Full-text