Mengjian Xu

most citedWrithe polynomial for virtual links

5 citations · 5 across the 1 of their papers we have counts for

collaborators

3 papers

math.GT2021

Chord index for knots in thickened surfaces

Zhiyun Cheng, Hongzhu Gao, Mengjian Xu

In this note, we construct a chord index homomorphism from a subgroup of $H_{1} (Σ, Z)$ to the group of chord indices of a knot $K$ in $Σ \times I$ . Some knot invariants deriv…

math.GT2018★ 5 cited

Writhe polynomial for virtual links

Mengjian Xu

A weak chord index $I n d^{'}$ is constructed for self crossing points of virtual links. Then a new writhe polynomial $W$ of virtual links is defined by using $I n d^{'}$ . $W$ is a generaliz…

math.GT2018

Some remarks on the chord index

Zhiyun Cheng, Hongzhu Gao, Mengjian Xu

In this paper we discuss how to define a chord index via smoothing a real crossing point of a virtual knot diagram. Several polynomial invariants of virtual knots and links can be…