2 papers
math.GT2023
A minimality property for knots without Khovanov 2-torsion
Onkar Singh Gujral, Joshua Wang
A conjecture of Shumakovitch states that every nontrivial knot has 2-torsion in its Khovanov homology. We show that if a knot has no 2-torsion in its Khovanov homology, then th…
math.GT2020
Ribbon distance bounds from Bar-Natan Homology and -Homology
Onkar Singh Gujral
We prove a lower bound on the ribbon distance via Bar-Natan Homology. This lower bound agrees with Alishahi's lower bound on the unknotting number via Bar-Natan Homology, which fur…