8 citations · 8 across the 1 of their papers we have counts for
4 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…
On the crossing number of positive knots and braids and braid index criteria of Jones and Morton-Williams-Franks
A. Stoimenow
We give examples of knots with some unusual properties of the crossing number of positive diagrams or strand number of positive braid representations. In particular we show that po…
Positive knots, closed braids and the Jones polynomial
A. Stoimenow
Using the recent Gauss diagram formulas for Vassiliev invariants of Polyak-Viro-Fiedler and combining these formulas with the Bennequin inequality, we prove several inequalities fo…
Gauss sums on almost positive knots
A. Stoimenow
Using the Fiedler-Polyak-Viro Gauss diagram formulas we study the Vassiliev invariants of degree 2 and 3 on almost positive knots. As a consequence we show that the number of almos…