2012/02/17 by Zhiyun Cheng, Cheng, Zhiyun
Mathematics · #57M25 #Advanced Combinatorial Mathematics #FOS: Mathematics #Geometric Topology (math.GT) #Geometric and Algebraic Topology #Homotopy and Cohomology in Algebraic Topology
paper · pdf · doi:10.48550/arxiv.1202.3850
openalex publication_date 2012/02/17 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
The aim of this paper is to introduce a polynomial invariant fK(t) for virtual knots. We show that fK(t) can be used to distinguish some virtual knot from its inverse and mirror image. The behavior of fK(t) under connected sum is also given. Finally we discuss which kind of polynomial can be realized as fK(t) for some virtual knot K.