Add to ORKGBar-Natan used Chinese characters to show that finite type invariants classify string links up to homotopy. In this paper, I construct the correct spaces of chord diagrams and Chinese characters for links up to homotopy. I use these spaces to show that the only rational finite type invariants of link homotopy are the pairwise linking numbers of the components
In previous work, we defined the intersection graph of a chord diagram associated with a string link...
23 pagesWelded knotted objects are a combinatorial extension of knot theory, which can be used as a ...
Link homotopy has been an active area of research for knot theorists since its introduction by Milno...
This paper is a generalization of the author\u27s previous work on link homotopy to link concordance...
We show that for links with at most 5 components, the only finite type homotopy invariants are produ...
We define a notion of finite type invariants for links with a fixed linking matrix. We show that Mil...
We use an action, of 2l-component string links on l-component string links, defined by the first aut...
AbstractWe define finite-type invariants for graphs as functionals on certain finite-dimensional vec...
We use Polyak\u27s skein relation to give a new proof that Milnor\u27s string link homotopy invarian...
AbstractIn this paper we provide a complete algebraic invariant of link-homotopy, that is, an algebr...
In this paper we provide a complete algebraic invariant of link-homotopy, that is, an algebraic inva...
We extend the notion of intersection graphs for knots in the theory of finite type invariants to str...
Abstract. We investigate Vassiliev homotopy invariants of string links, and find that in this partic...
AbstractHomotopy classes of nanowords and nanophrases are combinatorial generalizations of virtual k...
AbstractIn this note, we will study Δ link homotopy (or self Δ-equivalence), which is an equivalence...
In previous work, we defined the intersection graph of a chord diagram associated with a string link...
23 pagesWelded knotted objects are a combinatorial extension of knot theory, which can be used as a ...
Link homotopy has been an active area of research for knot theorists since its introduction by Milno...
This paper is a generalization of the author\u27s previous work on link homotopy to link concordance...
We show that for links with at most 5 components, the only finite type homotopy invariants are produ...
We define a notion of finite type invariants for links with a fixed linking matrix. We show that Mil...
We use an action, of 2l-component string links on l-component string links, defined by the first aut...
AbstractWe define finite-type invariants for graphs as functionals on certain finite-dimensional vec...
We use Polyak\u27s skein relation to give a new proof that Milnor\u27s string link homotopy invarian...
AbstractIn this paper we provide a complete algebraic invariant of link-homotopy, that is, an algebr...
In this paper we provide a complete algebraic invariant of link-homotopy, that is, an algebraic inva...
We extend the notion of intersection graphs for knots in the theory of finite type invariants to str...
Abstract. We investigate Vassiliev homotopy invariants of string links, and find that in this partic...
AbstractHomotopy classes of nanowords and nanophrases are combinatorial generalizations of virtual k...
AbstractIn this note, we will study Δ link homotopy (or self Δ-equivalence), which is an equivalence...
In previous work, we defined the intersection graph of a chord diagram associated with a string link...
23 pagesWelded knotted objects are a combinatorial extension of knot theory, which can be used as a ...
Link homotopy has been an active area of research for knot theorists since its introduction by Milno...