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arXiv · 2110.04915

Parity on based matrices

Igor Nikonov
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Abstract

A parity is a labeling of the crossings of knot diagrams which is compatible with Reidemeister moves. We define the notion of parity for based matrices -- algebraic objects introduced by V. Turaev in his research of virtual strings. We present the reduced stable parity on based matrix which gives a new example of a parity of virtual knots.

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Igor Nikonov. 2021-10-10. Parity on based matrices. https://arxiv.org/abs/2110.04915

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