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math.GT2022★ 1 cited
Minimal generating sets of moves for surfaces immersed in the four-space
Michal Jablonowski
For immersed surfaces in the four-space, we have a generating set of the Swenton--Hughes--Kim--Miller spatial moves that relate singular banded diagrams of ambient isotopic immersi…
math.GT2022
Upper and lower bound on delta-crossing number and tabulation of knots
Michal Jablonowski
We will strengthen the known upper and lower bounds on the delta-crossing number of knots in therms of the triple-crossing number. The latter bound turns out to be strong enough to…