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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.GT2019★ 2 cited
Crossing change on Khovanov homology and a categorified Vassiliev skein relation
Noboru Ito, Jun Yoshida
Khovanov homology is a categorification of the Jones polynomial, so it may be seen as a kind of quantum invariant of knots and links. Although polynomial quantum invariants are dee…
math.GT2017
Transversality theorem in highly relative situations and its application
Jun Yoshida
In this paper, we aim to provide a notion of "relative objects", i.e. objects equipped with some sort of subobjects, in differential topology. In spite of active researches relatin…