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Bowling ball representation of virtual string links

2017; World Scientific; Volume: 26; Issue: 06 Linguagem: Inglês

10.1142/s0218216517420019

1793-6527

Zhiyun Cheng,

Advanced Combinatorial Mathematics

In this paper, we investigate the virtual string links via a probabilistic interpretation. This representation can be used to distinguish some virtual string links from classical string links. In order to study the algebraic structure behind this probabilistic interpretation, we introduce the notion of virtual flat biquandle. The cocycle invariants associated with virtual flat biquandle are also discussed.