17 citations · 52 across the 13 of their papers we have counts for
13 papers
Finite type invariants based on the band-pass and doubled delta moves
James Conant, Jacob Mostovoy, Ted Stanford
We study generalizations of finite-type knot invariants obtained by replacing the crossing change in the Vassiliev skein relation by some other local move, analyzing in detail the…
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…
Brunnian links are determined by their complements
Brian Mangum, Theodore Stanford
If L_1 and L_2 are two Brunnian links with all pairwise linking numbers 0, then we show that L_1 and L_2 are equivalent if and only if they have homeomorphic complements. In partic…
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…