Link invariants from finite biracks

Details Link invariants from finite biracks Link invariants from finite biracks

2010-02-19

arxiv.org/abs/1002.3842v2

Mathematics

Geometric Topology

14 pages

Scientific paper

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 $(\tau,\sigma,\rho)$-biracks. We consider enhancements of the counting invariant using writhe vectors, image subbiracks, and birack polynomials.

Affiliated with

Also associated with

No associations

Rating

Link invariants from finite biracks does not yet have a rating. At this time, there are no reviews or comments for this scientific paper.

If you have personal experience with Link invariants from finite biracks, we encourage you to share that experience with our LandOfFree.com community. Your opinion is very important and Link invariants from finite biracks will most certainly appreciate the feedback.

Rate now

Comments { 0 }

Profile ID: LFWR-SCP-O-692369