Finite-type Invariants of Long and Framed Virtual Knots

Nicolas Petit

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arXiv · 1610.03825

Finite-type Invariants of Long and Framed Virtual Knots

Nicolas Petit

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Abstract

We generalize three invariants, first discovered by A. Henrich, to the long and/or framed virtual knot case. These invariants are all finite-type invariants of order one, and include a universal one. The generalization will require us to extend the notion of a based matrix of a virtual string, first introduced by V. Turaev and later generalized by Henrich, to the long and framed cases.

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Nicolas Petit. 2016-10-13. Finite-type Invariants of Long and Framed Virtual Knots. https://arxiv.org/abs/1610.03825

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