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math.GT2020
Decomposition of the first Vassiliev derivative of Khovanov homology and its application
Jun Yoshida
Khovanov homology extends to singular links via a categorified analogue of Vassiliev skein relation. In view of Vassiliev theory, the extended Khovanov homology can be seen as Vass…
math.GT2020★ 2 cited
A cobordism realizing crossing change on tangle homology and a categorified Vassiliev skein relation
Noboru Ito, Jun Yoshida
In this paper, we discuss degree 0 crossing change on Khovanov homology in terms of cobordisms. Namely, using Bar-Natan's formalism of Khovanov homology, we introduce a sum of cobo…