Refined quantum invariants for three-manifolds with structure
Christian Blanchet (1998)
Banach Center Publications
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Christian Blanchet (1998)
Banach Center Publications
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Xiao-Song Lin (1998)
Banach Center Publications
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Michael Atiyah (1989-1990)
Séminaire Bourbaki
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Tu Quoc Thang Le, Jun Murakami (1996)
Compositio Mathematica
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Paul Melvin, Robion Kirby (1991)
Inventiones mathematicae
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Hansen, Søren Kold (2001)
Algebraic & Geometric Topology
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Guadagnini, Enore, Thuillier, Frank (2008)
SIGMA. Symmetry, Integrability and Geometry: Methods and Applications [electronic only]
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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...
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]}.
Johannes, Jeff (2004)
The New York Journal of Mathematics [electronic only]
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