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Knot theory
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201	Contents Introduction iv 1 Basic denitions Add to Reading List Source URL: www.liv.ac.uk Language: English - Date: 2012-03-22 08:44:43 Geometric topology Braid group Braid theory Jones polynomial Reidemeister move Framed knot Regular isotopy Link Alternating knot Knot theory Topology Abstract algebra
202	Hom y skeins and the Hopf link Thesis submitted in a ordan e with the requirements of the University of Liverpool for the degree of Do tor in Philosophy by Sas ha Georg Luka June 2001 Add to Reading List Source URL: www.liv.ac.uk Language: English - Date: 2012-03-22 12:26:10 Knot theory Polynomials Representation theory Monoidal categories Skein relation Hopf algebra Quantum group Abstract algebra Algebra Mathematics
203	Jones polynomial invariants for knots and satellites Add to Reading List Source URL: www.liv.ac.uk Language: English - Date: 2010-02-26 10:05:14 Abstract algebra Tangle Link Mutation Module Quantum group Jones polynomial Invariant Knot invariant Knot theory Topology Mathematics
204	Knots and algebras H.R.Morton and P.Traczyk* Abstract. Starting from the existence of the 2-variable polynomial P for oriented links we develop the linear skein theory approach to give a geometric realisation of the Heck Add to Reading List Source URL: www.liv.ac.uk Language: English - Date: 2012-03-22 13:00:18 Tangle Lie algebra Planar algebra Iwahori–Hecke algebra Abstract algebra Knot theory Algebra
205	Algorithms for positive braids ELSAYED A. ELRIFAI 1 Department of Mathematics, Faculty of Science, King Khalid University, P.O.Box 9004, Abha, Saudi Arabia. [removed] HUGH R. MORTON Add to Reading List Source URL: www.liv.ac.uk Language: English - Date: 2012-03-22 12:42:13 Textile arts Algebra Braids Braid group Hairstyles Braid theory Braid Link Conjugacy class Knot theory Abstract algebra Group theory
206	DISTINGUISHING MUTANTS BY KNOT POLYNOMIALS HUGH R. MORTON and PETER R. CROMWELL Department of Pure Mathematics, University of Liverpool, PO Box 147, Liverpool, L69 3BX ABSTRACT Add to Reading List Source URL: www.liv.ac.uk Language: English - Date: 2007-03-13 05:45:53 Abstract algebra Finite type invariant Quantum invariant Knot polynomial Knot invariant Mutation HOMFLY polynomial Jones polynomial Alexander polynomial Knot theory Topology Geometric topology
207	Mutant knots H. R. Morton February 25, 2013 Abstract Mutants provide pairs of knots with many common properties. The study of invariants which can distinguish them has stimulated an Add to Reading List Source URL: www.liv.ac.uk Language: English - Date: 2013-02-25 15:03:40 Abstract algebra Mutation Tangle Knot invariant Knot group Seifert surface Link Unknot Alexander polynomial Knot theory Topology Geometric topology
208	THE ALEXANDER POLYNOMIAL OF A TORUS KNOT WITH TWISTS HUGH R. MORTON Department of Mathematical Sciences, University of Liverpool, Peach Street, Add to Reading List Source URL: www.liv.ac.uk Language: English - Date: 2012-03-22 12:55:11 Algebra Mathematics Torus knot Alexander polynomial Resultant Polynomials Knot theory Abstract algebra
209	Topological Moduli Spaces of Knots Allen Hatcher Classical knot theory is concerned with isotopy classes of knots in the 3 sphere, in other words, path-components of the space K of all smooth submanifolds of S 3 diffeomo Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2002-10-19 13:14:09 Geometric topology Differential topology Conjectures Homotopy Torus Connected sum Trefoil knot Diffeomorphism Knot Topology Knot theory 3-manifolds
210	CONFIGURATION SPACES OF RINGS AND WICKETS TARA E. BRENDLE AND ALLEN HATCHER Abstract. The main result in this paper is that the space of all smooth links in R3 isotopic to the trivial link of n components has the same ho Add to Reading List Source URL: www.math.cornell.edu Language: English - Date: 2012-12-23 20:06:08 Maps of manifolds General topology Link Homotopy Covering space Torus Connected space Configuration space Knot theory Topology Algebraic topology Manifolds

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