8 citations · 11 across the 2 of their papers we have counts for
11 papers
Problems on invariants of knots and 3-manifolds
J. E. Andersen, N. Askitas, D. Bar-Natan +57
This is a list of open problems on invariants of knots and 3-manifolds with expositions of their history, background, significance, or importance. This list was made by editing ope…
Some computational results on mod 2 finite-type invariants of knots and string links
Ted Stanford
We publish a table of primitive finite-type invariants of order less than or equal to six, for knots of ten or fewer crossings. We note certain mod-2 congruences, one of which lead…
On Invariants of Morse Knots
Jacob Mostovoy, Theodore Stanford
We define and study Vassiliev invariants for (long) Morse knots. It is shown that there are Vassiliev invariants which can distinguish some topologically equivalent Morse knots. In…
A move on diagrams that generates S-equivalence of knots
Swatee Naik, Theodore Stanford
Two knots in three-space are S-equivalent if they are indistinguishable by Seifert matrices. We show that S-equivalence is generated by the doubled-delta move on knot diagrams. It…
On a Map From Pure Braids to Knots
Jacob Mostovoy, Theodore Stanford
We study a certain type of braid closure which resembles the plat closure but has certain advantages; for example, it maps pure braids to knots. The main results of this note are a…
Brunnian braids and some of their generalizations
Theodore Stanford
We use a variation on the commutator collection process to characterize those pure braids which become trivial when any one strand is deleted, or, more generally, those pure braids…