49 citations · 65 across the 7 of their papers we have counts for
6 papers · 1 filter
Inner products on the Hecke algebra of the braid group
Tamás Kálmán
We point out that the Homfly polynomial (that is to say, Ocneanu's trace functional) contains two polynomial-valued inner products on the Hecke algebra representation of Artin's br…
Meridian twisting of closed braids and the Homfly polynomial
Tamás Kálmán
Let be a braid on strands, with exponent sum . Let be the Garside half-twist braid. We prove that the coefficient of in the Homfly polynomial of the clos…
Rulings of Legendrian knots as spanning surfaces
Tamás Kálmán
Each ruling of a Legendrian link can be naturally treated as a surface. For knots, the ruling is 2-graded if and only if the surface is orientable. For 2-graded rulings of homogene…
Maximal Thurston-Bennequin number of +adequate links
Tamás Kálmán
The class of +adequate links contains both alternating and positive links. Generalizing results of Tanaka (for the positive case) and Ng (for the alternating case), we construct fr…
One parameter families of Legendrian torus knots
Tamás Kálmán
We compute the Chekanov-Eliashberg contact homology of what we call the Legendrian closure of a positive braid. We also construct an augmentation for each such link diagram. Then w…
Contact homology and one parameter families of Legendrian knots
Tamas Kalman
We consider S^1-families of Legendrian knots in the standard contact R^3. We define the monodromy of such a loop, which is an automorphism of the Chekanov-Eliashberg contact homolo…