Bikei homology
Copyright policy )Bikei homology
We introduce a modified homology and cohomology theory for involutory biquandles (also known as \textit{bikei}). We use bikei 2-cocycles to enhance the bikei counting invariant for unoriented knots and links as well as unoriented and non-orientable knotted surfaces in $\mathbb{R}^4$.
12 pages; revised version incorporates suggestions from referee. To appear in Homology, Homotopy and Applications
- Claremont McKenna College United States
bikei homology, Geometric Topology (math.GT), Invariants of knots and \(3\)-manifolds, involutory biquandle, Knots and links in high dimensions (PL-topology), 57M27, 57M25, Mathematics - Geometric Topology, cocycle invariant, Mathematics - Quantum Algebra, FOS: Mathematics, Knots and links in the \(3\)-sphere, Quantum Algebra (math.QA), bikei
bikei homology, Geometric Topology (math.GT), Invariants of knots and \(3\)-manifolds, involutory biquandle, Knots and links in high dimensions (PL-topology), 57M27, 57M25, Mathematics - Geometric Topology, cocycle invariant, Mathematics - Quantum Algebra, FOS: Mathematics, Knots and links in the \(3\)-sphere, Quantum Algebra (math.QA), bikei
selected citations These citations are derived from selected sources.This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).3 popularity This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.Average influence This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).Average impulse This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.Average
Citations provided by BIP!Popularity provided by BIP!