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arXiv · 2312.03994

Connected sum and crossing numbers of flat virtual knots

Jie Chen
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Abstract

The connected sum of two flat virtual knots depends on the choice of diagrams and basepoints. We show that any minimal crossing diagram of a composite flat virtual knot is a connected sum diagram. We also show the crossing number of flat virtual knots is super-additive under connected sum.

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Jie Chen. 2024-07-24. Connected sum and crossing numbers of flat virtual knots. https://arxiv.org/abs/2312.03994

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