lSpace Category — knot theory

Overview

The lSpace wiki has 62 pages in this category.

Pages

• A Functorial Map from Knots in Thickened Surfaces to Classical Knots and Generalisations of Parity
• A Khovanov homotopy type or two
• A Steenrod Square on Khovanov Homology
• A subtle new invariant for framed knots and links
• A topological introduction to knot contact homology
• An Affine Index Polynomial Invariant of Virtual Knots
• An infinite family of convex Brunnian links in $R^n$
• An introduction to finite type invariants of knots and 3-manifolds
• An introduction to high dimensional knots
• An operad for splicing
• An upper bound on Reidemeister moves
• Balloons and Hoops and their Universal Finite Type Invariant, BF Theory, and an Ultimate Alexander Invariant
• Band surgeries and crossing changes between fibered links
• Braid equivalences and the $L$--moves
• Categorification and applications in topology and representation theory
• Character expansion for HOMFLY polynomials. II. Fundamental representation. Up to five strands in braid
• Configuration space integrals and the cohomology of the space of homotopy string links
• Configuration space integrals and the topology of knot and link spaces
• Dehn surgery on knots of wrapping number 2
• Fivebranes and Knots
• Graphic lambda calculus and knot diagrams
• Hamiltonian BF theory and projected Borromean Rings
• Higher order Josephson effects
• Higher order {M}assey products and links
• Identifying the Canonical Component for the Whitehead Link
• Injectivity of satellite operators in knot concordance
• Introduction to Khovanov Homologies. II. Reduced Jones superpolynomials
• Introduction to Vassiliev Knot Invariants
• Introduction to Virtual Knot Theory
• Invariants of Links in Thickened Surfaces
• JSJ-decompositions of knot and link complements in the 3-sphere
• Juggling braids and links
• Khovanov Homology
• Khovanov homology for virtual links using cobordisms
• Knot Polynomials: Myths and Reality
• Link groups
• Link invariants via counting surfaces
• Of Sullivan models, Massey products, and twisted Pontrjagin products
• On homotopy Brunnian links and the kappa-invariant
• On Structure and Organization: An Organizing Principle
• On the colored Jones polynomials of ribbon links, boundary links and Brunnian links
• On the rational homology of high dimensional analogues of spaces of long knots
• Picture-Hanging Puzzles
• Pontryagin invariants and integral formulas for Milnor's triple linking number
• Properties of knots preserved by cabling
• Quantum Knot Invariants
• Reconfigurable knots and links in chiral nematic colloids
• Satellite operators as group actions on knot concordance
• Skein relations for {M}ilnor's {[mu]}-invariants
• SO(3) Homology of Graphs and Links
• Splitting Varieties for Triple Massey Products
• Tackling the Trefoils
• The (n)-solvable filtration of the link concordance group and Milnor's invariants
• The Alexander and Jones Polynomials Through Representations of Rook Algebras
• The homotopy theory of Khovanov homology
• The Trieste look at Knot Theory
• Three dimensions of knot coloring
• Topological Strings, D-Model, and Knot Contact Homology
• Topology Explains Why Automobile Sunshades Fold Oddly
• Triple gear
• Tutorial on the braid groups
• Zredukowane homologie Khovanova