Academic Journal

The Lee spectral sequence, unknotting number, and the Knight Move Conjecture.

Λεπτομέρειες βιβλιογραφικής εγγραφής
Τίτλος: The Lee spectral sequence, unknotting number, and the Knight Move Conjecture.
Συγγραφείς: Alishahi, Akram1 alishahi@math.columbia.edu, Dowlin, Nathan1 ndowlin@math.columbia.edu
Πηγή: Topology & Its Applications. Mar2019, Vol. 254, p29-38. 10p.
Θεματικοί όροι: *Numerical analysis, *Spectral sequences (Mathematics)
Περίληψη: 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]
Βάση Δεδομένων: Academic Search Index
Περιγραφή
ISSN:01668641
DOI:10.1016/j.topol.2018.11.020