Displaying similar documents to “Band-pass moves and the Casson-Walker-Lescop invariant.”

Link invariants from finite biracks

Sam Nelson (2014)

Banach Center Publications

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A birack is an algebraic structure with axioms encoding the blackboard-framed Reidemeister moves, incorporating quandles, racks, strong biquandles and semiquandles as special cases. In this paper we extend the counting invariant for finite racks to the case of finite biracks. We introduce a family of biracks generalizing Alexander quandles, (t,s)-racks, Alexander biquandles and Silver-Williams switches, known as (τ,σ,ρ)-biracks. We consider enhancements of the counting invariant using...

Homfly polynomials as vassiliev link invariants

Taizo Kanenobu, Yasuyuki Miyazawa (1998)

Banach Center Publications

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We prove that the number of linearly independent Vassiliev invariants for an r-component link of order n, which derived from the HOMFLY polynomial, is greater than or equal to min{n,[(n+r-1)/2]}.