论文信息 - Link invariants from finite Coxeter racks

Link invariants from finite Coxeter racks

We study Coxeter racks over $\mathbb{Z}_n$ and the knot and link invariants they define. We exploit the module structure of these racks to enhance the rack counting invariants and give examples showing that these enhanced invariants are stronger than the unenhanced rack counting invariants.

Sam Nelson | Ryan Wieghard

[1] Sam Nelson. Link invariants from finite racks , 2008, 0808.0029.

[2] Jacquelyn L. Rische,et al. On bilinear biquandles , 2007, 0708.1951.

[3] Sam Nelson,et al. On symplectic quandles , 2007, math/0703727.

[4] Sam Nelson. A polynomial invariant of finite quandles , 2007, math/0702038.

[5] L. Kauffman. Virtual Knot Theory , 1998, Eur. J. Comb..

[6] Roger Fenn,et al. RACKS AND LINKS IN CODIMENSION TWO , 1992 .

[7] S. Matveev. DISTRIBUTIVE GROUPOIDS IN KNOT THEORY , 1984 .

[8] E. Brieskorn,et al. Automorphic sets and braids and singularities , 1988 .

[9] David Joyce,et al. A classifying invariant of knots, the knot quandle , 1982 .

[10] Mituhisa Takasaki. Abstraction of symmetric transformations , 1943 .