Bibliographic Details
| Title: |
The Lee spectral sequence, unknotting number, and the Knight Move Conjecture. |
| Authors: |
Alishahi, Akram1 alishahi@math.columbia.edu, Dowlin, Nathan1 ndowlin@math.columbia.edu |
| Source: |
Topology & Its Applications. Mar2019, Vol. 254, p29-38. 10p. |
| Subject Terms: |
*Numerical analysis, *Spectral sequences (Mathematics) |
| Abstract: |
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) ≤ 2 , 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) ≤ 2. [ABSTRACT FROM AUTHOR] |
| Database: |
Academic Search Index |