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math.GT1998
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…
math.GT1998
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…