Equivariant unknotting number of a strongly invertible knot is at least the H-torsion order of its involutive Bar-Natan homology, with five explicit knots where ordinary unknotting number is smaller.
Involutive Khovanov homology and equ ivariant knots
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Equivariant Unknotting Number and Involutive Khovanov Homology
Equivariant unknotting number of a strongly invertible knot is at least the H-torsion order of its involutive Bar-Natan homology, with five explicit knots where ordinary unknotting number is smaller.