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math.GT2000★ 1 cited
Link-homotopy Invariants of Finite Type
Xiao-Song Lin
An explicit polynomial in the linking numbers and Milnor's triple linking numbers on six component links is shown to be a well-defined finite type link-homotopy i…
math.GT2000
The Bennequin number of n-trivial closed n-braids is negative
Oliver T. Dasbach, Xiao-Song Lin
A famous result of Bennequin states that for any braid representative of the unknot the Bennequin number is negative. We will extend this result to all n-trivial closed n-braids. T…
math.GT2000
Vassiliev invariants and the cubical knot complex
Ilya Kofman, Xiao-Song Lin
We construct a cubical CW-complex CK(M^3) whose rational cohomology algebra contains Vassiliev invariants of knots in the 3-manifold M^3. We construct \bar{CK}(R^3) by attaching ce…