21 citations · 59 across the 15 of their papers we have counts for
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math.GT2017★ 1 cited
The Lee Spectral Sequence, Unknotting Number, and the Knight Move Conjecture
Akram Alishahi, Nathan Dowlin
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…
math.GT2017★ 21 cited
The Bar-Natan homology and unknotting number
Akram Alishahi
We show that the order of torsion homology classes in Bar-Natan deformation of Khovanov homology is a lower bound for the unknotting number. We give examples of knots that this is…
math.GT2017★ 11 cited
Bordered Floer homology and incompressible surfaces
Akram Alishahi, Robert Lipshitz
We show that bordered Heegaard Floer homology detects incompressible surfaces and bordered-sutured Floer homology detects partly boundary parallel tangles and bridges, in natural w…