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Journal paper: R. Deviatov, Combinatorial knot invariants that detect trefoils

Abstract
We construct a series of combinatorial quandle-like knot invariants. We color regions of a knot diagram rather than lines and assign a weight to each coloring. Sets of these weights are the invariants we construct (colorings and weights depend on several parameters).

Using these invariants, we prove that left and right trefoils are not isotopic using this invariant (in a particular case).
Final journal version
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Last submitted version: download pdf; download zip archive with all sources
Copyright notice: This is the accepted author manuscript of the article published as Journal of Knot Theory and its Ramifications, 18, 9, 2009, 1193–1203, doi 10.1142/S0218216509007403, copyright World Scientific Publishing Company, www.worldscientific.com/worldscinet/jktr.
First submitted version: download pdf; download zip archive with all sources
This is the first version submitted to Journal of Knot Theory and Its Ramifications.
Bibliographic reference:
Rostislav Deviatov, Combinatorial knot invariants that detect trefoils, Journal of Knot Theory and Its Ramifications 18:9 (2009), 1193–1203.
Article page at the journal website

DOI: 10.1142/S0218216509007403 (link)