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arXiv · 1809.05871

The state-sum invariants for virtual knots

A. A. Kazakov
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Abstract

We construct the new non-trivial state--sum invariants for virtual knots and links by a generalization of the powerful Carter--Saito--Jelsovsky--Kamada--Langford theorem for classical knots. The main result of this work is based on cohomology quandle theory and colorings of virtual knot and link diagrams by quandle elements.

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A. A. Kazakov. 2018-09-16. The state-sum invariants for virtual knots. https://arxiv.org/abs/1809.05871

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