Some New Invariants of Links.
Sadayoshi Kojima, Masyuki Yamasaki (1979)
Inventiones mathematicae
Similarity:
Sadayoshi Kojima, Masyuki Yamasaki (1979)
Inventiones mathematicae
Similarity:
Paul Melvin, Robion Kirby (1991)
Inventiones mathematicae
Similarity:
T.D. Cochran (1987)
Inventiones mathematicae
Similarity:
V.G. Turaev (1988)
Inventiones mathematicae
Similarity:
Kent E. Orr (1989)
Inventiones mathematicae
Similarity:
Sam Nelson (2014)
Banach Center Publications
Similarity:
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...
Sam Nelson (2014)
Fundamenta Mathematicae
Similarity:
We define ambient isotopy invariants of oriented knots and links using the counting invariants of framed links defined by finite racks. These invariants reduce to the usual quandle counting invariant when the rack in question is a quandle. We are able to further enhance these counting invariants with 2-cocycles from the coloring rack's second rack cohomology satisfying a new degeneracy condition which reduces to the usual case for quandles.
Xiao-Song Lin (1998)
Banach Center Publications
Similarity:
Joan S. Birman, W.W. Menasco (1990)
Inventiones mathematicae
Similarity: