Link invariants from finite racks

Details Link invariants from finite racks Link invariants from finite racks

2008-07-31

arxiv.org/abs/0808.0029v2

Mathematics

Geometric Topology

13 pages

Scientific paper

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.

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