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arxiv: 1508.05555 · v2 · pith:OOYXKIEEnew · submitted 2015-08-23 · 🧮 math.GT

New Parities and Coverings over Free Knots

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keywords paritiesfreeappliedciteconstructcoveringsdependdevelop
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In the present paper, we develop the parity theory invented in \cite{ManSb}; we construct new parities for two-component (virtual and free) links. New parities significantly depend on geometrical properties of diagrams; in particular, they are mutation-sensitive. New parities can be used practically in all problems, where parities were previously applied.

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