3 papers
math.GT2026
Two-variable Parity Polynomial for Virtual Knotoids
Siqi Ding, Suo Gao, Fengchun Lei +2
In this paper, we introduce a two-variable parity polynomial invariant for virtual knotoids, defined on oriented virtual knotoid diagrams. The construction is based on the parity o…
math.GT2026
Vassiliev invariants for virtual knotoids
Siqi Ding, Xiaobo Jin, Fengchun Lei +2
In this paper, we introduce the 0-smoothing invariant of virtual knotoids constructed from local modification at classical crossings, which take values in a free $\ma…
math.GT2025
Amalgamations along surfaces with boundary in a handlebody
Siqi Ding, Fengchun Lei, Wei Lin +1
Let M be a connected orientable 3-manifold, and F a compact connected orientable surface properly embedded in M. If F cuts M into two connected 3-manifolds X and Y, that is, M=X \c…