Qingying Deng ; Fengming Dong ; Xian'an Jin ; Qi Yan
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Partial-dual polynomial as a framed weight system
cm:13020 -
Communications in Mathematics,
April 22, 2024,
Volume 31 (2023), Issue 3 (Special issue: in memory of Sergei Duzhin)
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https://doi.org/10.46298/cm.13020
Partial-dual polynomial as a framed weight systemArticle
Authors: Qingying Deng ; Fengming Dong ; Xian'an Jin ; Qi Yan
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Qingying Deng;Fengming Dong;Xian'an Jin;Qi Yan
Recently, Chmutov proved that the partial-dual polynomial considered as a
function on chord diagrams satisfies the four-term relations. In this paper, we
show that this function on framed chord diagrams also satisfies the four-term
relations, i.e., is a framed weight system.