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math.GT2019
Link-homotopy classes of 4-component links and claspers
Yuka Kotorii, Atsuhiko Mizusawa
Two links are link-homotopic if they are transformed into each other by a sequence of self-crossing changes and ambient isotopies. The link-homotopy classes of 4-component links we…
math.GT2019
Goussarov-Polyak-Viro Conjecture for degree three case
Noboru Ito, Yuka Kotorii, Masashi Takamura
Although it is known that the dimension of the Vassiliev invariants of degree three of long virtual knots is seven, the complete list of seven distinct Gauss diagram formulas have…