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We show that the page at which the Lee spectral sequence collapses gives a bound on the unknotting number, u(K). In particular, for knots with u(K) Click to show full abstract
We show that the page at which the Lee spectral sequence collapses gives a bound on the unknotting number, u(K). In particular, for knots with u(K)<3, we show that the Lee spectral sequence must collapse at the E_2 page. An immediate corollary is that the Knight Move Conjecture is true when u(K)<3.
Keywords:
move conjecture;
knight move;
unknotting number;
lee spectral;
spectral sequence
Journal Title: Topology and its Applications
Year Published: 2019
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Journal Title: Topology and its Applications
Year Published: 2019
Link to full text (if available)
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recommendations!